#

J. A.
Abbott

# On the Factorization of Polynomials over Algebraic Fields

School of Mathematical Sciences, University of Bath
1989
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# Correction to the paper: The representations and generic degrees of the Hecke algebra of type H_4 [J. Reine Angew. Math. \bf 336 (1982), 201–212; MR0671329 (84a:20013)]

1994
449
217–218

Correction: ibid. \bf 449, 217–218 (1994)

AL82
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1268587 (95a:20005)
20C15
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JRMAA8
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# The representations and generic degrees of the Hecke algebra of type H_4

1982
336
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Correction: ibid. \bf 449, 217–218 (1994)

AL94
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671329 (84a:20013)
20C15
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Dean
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# The left cells of the Coxeter group of type H_4

1987
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# A procedure for obtaining simplified defining relations for a subgroup

Groups–St Andrews 1981 (St Andrews, 1981)
Cambridge Univ. Press
1982
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Edmund F.
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# A modified Todd-Coxeter algorithm

Computational group theory (Durham, 1982)
Academic Press
1984
Michael D.
Atkinson
27–32

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Durham1982
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# Galoissche Theorie

Verlag Harri Deutsch
1973

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0392905 (52 #13718)
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# Existenz und effiziente Konstruktion schneller Fouriertransformationen überauflösbarer Gruppen

Rheinische Friedrich Wilhelm Universität Bonn
1991
Dissertation

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Ulrich
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Michael
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# Computing irreducible representations of supersolvable groups

1994
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20C40 (20C15 68Q40)
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MCMPAF
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Ákos
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# Nearly Linear Time Algorithms for Permutation Groups with a Small Base

Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC'91), Bonn 1991
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ACM Press
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# A note on the Todd-Coxeter coset enumeration algorithm

1976
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Mark
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# Schur indices and splitting fields of the unitary reflection groups

1976
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Journal of Algebra
C. T.
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# On the degrees and rationality of certain characters of finite Chevalley groups

1972
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T. R.
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# Characters and derived length in groups of odd order

1976
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0396729 (53 #590)
20C15
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Hans Ulrich
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# Die Berechnung von Charaktergraden und Charakteren endlicher auflösbarer Gruppen im Computeralgebrasystem GAP

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1992
Diplomarbeit

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Hans Ulrich
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Bettina
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# Construction of finite groups

1999
27
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1681346 (2000c:20001)
20-04 (20D05 20D10)
Eamonn A. O'Brien
Journal of Symbolic Computation
Hans Ulrich
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Bettina
Eick

# The groups of order at most 1000 except 512 and 768

1999
27
4
405–413
0747-7171
1681347 (2000c:20002)
20-04 (20D05 20D10)
Eamonn A. O'Brien
Journal of Symbolic Computation
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Bettina
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# The groups of order q^n \cdot p

2001
29
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1853124 (2002f:20028)
20D60
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Hans Ulrich
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Bettina
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# The groups of order at most 2000

2001
7
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Bettina
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# A millennium project: constructing small groups

2002
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5
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20D99
Robert M. Guralnick
International Journal of Algebra and Computation
F. Rudolf
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Peter
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# On groups occurring as center factor groups

1979
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# Enumerating p-groups

1999
67
2
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Group theory

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20D15 (20J05)
Phạm Anh Minh
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E. A.
O'Brien

# The groups of order 512

Algorithmic algebra and number theory (Heidelberg, 1997)
Springer
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379–380

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1672078 (99m:20034)
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# Groups and nilpotent Lie rings whose order is the sixth power of a prime

2004
278
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2068084 (2005c:20034)
20D15 (17B30)
Jeffrey M. Riedl
JALGA4
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E. A.
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M. R.
Vaughan-Lee

# The groups with order p^7 for odd prime p

2005
292
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2166803 (2006d:20038)
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Journal of Algebra
Boris
Girnat

# Klassifikation der Gruppen bis zur Ordnung p^5

TU Braunschweig
2003
Staatsexamensarbeit

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Heiko
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Bettina
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# On the groups of cube-free order

2005
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2166799 (2006g:20001)
20-04 (20D06 20D10)
Eamonn A. O'Brien
JALGA4
Journal of Algebra
Thomas
Bischops

# Collectoren im Programmsystem GAP

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1989
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Wieb
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John J.
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# Handbook of Cayley Functions

Department of Pure Mathematics, University of Sydney
1992

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system design; Cayley;; manual
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# Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines

Hermann
1968
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0240238 (39 #1590)
22.50 (17.00)
G. B. Seligman
288 pp. (loose errata)
Richard P.
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Graeme L.
Cohen

# A new lower bound for odd perfect numbers

1989
53
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0025-5718
968150 (89m:11008)
11A25 (11Y05 11Y70)
Samuel S. Wagstaff, Jr.
MCMPAF
Mathematics of Computation
Thomas
Breuer

# Potenzabbildungen, Untergruppenfusionen, Tafel-Automorphismen

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1991
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T.
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K.
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# The multiplicity-free permutation characters of the sporadic simple groups and their automorphism groups

1996
24
7
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1390375 (97c:20020)
20C34 (20D08)
Peter Fleischmann
COALDM
Communications in Algebra
Thomas
Breuer

# Integral bases for subfields of cyclotomic fields

1997
8
4
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1464789 (99a:11120)
11R18
Wieb Bosma
AAECEW
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Thomas
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Götz
Pfeiffer

# Finding possible permutation characters

1998
26
3
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20B99 (20B40 20C15 20C40)
Cheryl E. Praeger
Journal of Symbolic Computation
Thomas
Breuer
Steve
Linton

# The GAP 4 Type System. Organizing Algebraic Algorithms

ISSAC '98: Proceedings of the 1998 international symposium on Symbolic and algebraic computation
1998
38–45

    New York, NY, USA

ACM Press

Chairman: Volker Weispfenning and Barry Trager

ISSAC98
1-58113-002-3
Rostock, Germany
ACM Order No.: 505980, ACM member price $25
Thomas
Breuer

# Computing possible class fusions from character tables

1999
27
6
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20C15
Jürgen Ritter
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Thomas
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Simon P.
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# Improvements to the Atlas

297–327
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1995
11
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# Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe

1971
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# Artin-Gruppen und Coxeter-Gruppen

1972
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# Zyklotomische Heckealgebren

Astérisque
1993
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# Generic blocks of finite reductive groups

Astérisque
1993
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Représentations unipotentes génériques et blocs des groupes réductifs finis

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20G05 (20C20)
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Paris
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# Représentations unipotentes génériques et blocs des groupes réductifs finis

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1235830 (94c:20078)
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# A concise introduction to the theory of numbers

Cambridge University Press
1984

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781734 (86f:11001)
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# Distance-regular graphs

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1002568 (90e:05001)
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xviii+495
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1981
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# Computable algebra and group embeddings

1981
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# Éléments de mathématique. Algèbre. Chapitres 1 à 3

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# On the list of finite primitive permutation groups of degree \leq 50

1996
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# The transitive groups of degree up to eleven

1983
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# The transitive groups of degree fourteen and fifteen

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# On the computation of integral bases and defects of integrity

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# Computing in permutation and matrix groups. III. Sylow subgroups

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# An extension of coset enumeration

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# Representation theory of the 0-Hecke algebra

1986
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# Simple groups of Lie type

John Wiley & Sons, London-New York-Sydney
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# Simple groups of Lie type

John Wiley & Sons Inc.
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# Kohomologie und Normalisatoren in GAP

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# Artin groups of finite type are biautomatic

1992
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# A direct proof of Minkwitz's extension theorem

1997
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1990
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# Computing modular and projective character degrees of soluble groups

1990
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Oxford University Press
1985

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1994
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# The primitive permutation groups of degree less than 4096

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# Methods of representation theory. Vol. II

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# Les immeubles des groupes de tresses généralisés

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1989
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# Recognizing finite matrix groups over infinite fields

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# High speed computation of group characters

1967
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John D.
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# The primitive permutation groups of degree less than 1000

1988
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# Constructing representations of finite groups

Groups and computation (New Brunswick, NJ, 1991)
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# A characterisation of solvable groups

1969
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# Coxeter Version 1.0

Université de Lyon

    Lyon, France

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# Reflection subgroups of Coxeter systems

1990
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# The use of Knuth-Bendix methods to solve the word problem in automatic groups

1991
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1146506 (92m:68052)
68Q40 (03D40 20F10)
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Journal of Symbolic Computation
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# Special presentations for finite soluble groups and computing (pre-)Frattini subgroups

Groups and computation, II (New Brunswick, NJ, 1995)
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# Computing maximal subgroups and Wyckoff positions of space groups

1997
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20H15 (82D25)
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# The solvable primitive permutation groups of degree at most 6560

LMS J. Comput. Math.
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# Computing the maximal subgroups of a permutation group I

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James W.
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Derek F.
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Michael S.
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# Word processing in groups

Jones and Bartlett Publishers
1992

    Boston, MA

0-86720-244-0
1161694 (93i:20036)
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Richard M. Thomas
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Groups '93 Galway/St Andrews, Vol. 1 (Galway, 1993)
Cambridge Univ. Press
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1342790 (96d:20028)
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Volkmar
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Günter
Sandlöbes

# An interactive program for computing subgroups

Computational group theory (Durham, 1982)
Academic Press
1984
Michael D.
Atkinson
137–143

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Durham1982
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groups; subgroup lattice, table of marks; cyclic extensions; program description
760655 (85k:20003)
20-04 (20D10 68Q99)
Volkmar
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Joachim
Neubüser

# An algorithm for the computation of conjugacy classes and centralizers in p-groups

Symbolic and algebraic computation (EUROSAM '79, Internat. Sympos., Marseille, 1979)
Springer
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Edward W.
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EUROSAM '79, an International Symposium held in Marseille, June 1979

EUROSAM79
3-540-09519-5
575705 (82d:20003)
20-04
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Paul
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# Solvable groups and modular representation theory

1962
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J. S.
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# Recursive computation of tensor power components

1982
10
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20-04 (20C15)
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# GAP–Groups, Algorithms, and Programming, Version 4.4.9

The GAP Group
2006
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groups; *; gap; manual
https://www.gap-system.org

# GAP–Groups, Algorithms, and Programming, Version 4.4

The GAP Group
2004

https://www.gap-system.org

GAP
groups; *; gap; manual
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# The braid group and other groups

1969
20
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55.20
L. Neuwirth
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Meinolf
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# On the character values of Iwahori-Hecke algebras of exceptional type

1994
68
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1243835 (94i:20073)
20F55 (20C15)
François Digne
PLMTAL
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M.
Geck

# Beiträge zur Darstellungstheorie von Iwahori-Hecke Algebren

Verlag der Augustinus Buchhandlung, Aachen
1995
11
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Meinolf
Geck
Sungsoon
Kim

# Bases for the Bruhat-Chevalley order on all finite Coxeter groups

1997
197
1
278–310
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1480786 (98k:20066)
20F55 (06A07)
Andrew Mathas
JALGA4
Journal of Algebra
Meinolf
Geck
Jean
Michel

# ``Good'' elements of finite Coxeter groups and representations of Iwahori-Hecke algebras

1997
74
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275–305
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1425324 (97i:20050)
20F55 (20C20)
Stephen P. Humphries
PLMTAL
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Meinolf
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Götz
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# On the irreducible characters of Hecke algebras

1993
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20C15
Hiroshi Naruse
ADMTA4
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Meinolf
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Gerhard
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Frank
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Gunter
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# CHEVIE–a system for computing and processing generic character tables

1996
7
3
175–210

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0938-1279
1486215 (99m:20017)
20C40 (20C33)
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Stephan P.
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# Computational Approaches to the Theory of Finite Soluble Groups

Department of Pure Mathematics, University of Sydney
1987
Phd thesis

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Michael C.
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# Computing intersections and normalizers in soluble groups

1990
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Ronald L.
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Addison-Wesley Publishing Company Advanced Book Program
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1996
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Published for International Union of Crystallography, Chester
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82A60 (00A69 20C35 20H15 82-02)
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Kluwer, Dordrecht
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1964

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# The Eulerian functions of a group

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1988
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0376827 (51 #13002)
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# Integer matrix diagonalization

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20-04 (20F50)
Colin M. Campbell
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P. E.
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E. F.
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# A Tietze transformation program

Computational group theory (Durham, 1982)
Academic Press
1984
Michael D.
Atkinson
69–73

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Durham1982
0-12-066270-1
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760651 (86b:20039)
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I. M.
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M.
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# On the Möbius function of a finite group

1989
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1003–1034
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20D30
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RMJMAE
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Gerhard
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Christoph
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Klaus
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Richard A.
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# Computational Modular Character Theory

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69–82

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1364180 (96m:20052)
20F10 (03D40 20-04 68Q40)
Sarah E. Rees
Derek F.
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C. R.
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E. A.
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Sarah
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# Computing matrix group decompositions with respect to a normal subgroup

1996
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20C40 (20B40)
Wolfgang Lempken
JALGA4
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C. R.
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E. A.
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Sarah
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# Testing matrix groups for primitivity

1996
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Wolfgang Lempken
JALGA4
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W.
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# Perfect groups

The Clarendon Press Oxford University Press
1989
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1025760 (91c:20029)
20D05 (20F05)
M. Ram Murty
xii+364
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Sarah
Rees

# Testing modules for irreducibility

1994
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1279282 (95e:20023)
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Bettina
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Eamonn A.
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# Handbook of Computational Group Theory

Chapman Hall/CRC
2005
Discrete mathematics and its applications

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George
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# Experiments in coset enumeration

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2001
William M.
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Ákos
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8
Ohio State Univ. Math. Res. Inst. Publ.
183–192

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1829479 (2002e:20064)
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George
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Colin
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# Proving a group trivial made easy: a case study in coset enumeration

2000
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1775892 (2002j:20061)
20F05
E. F. Robertson
ALNBAB
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J. M.
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1976

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L.M.S. Monographs, No. 7

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20MXX
T. E. Hall
x+272
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# Zur Berechnung von Charaktertafeln

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1993
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Hulpke

# Konstruktion transitiver Permutationsgruppen

Rheinisch Westfälische Technische Hochschule
1996
Dissertation

    Aachen, Germany

Verlag der Augustinus Buchhandlung, Aachen
Alexander
Hulpke

# Computing normal subgroups

Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation (Rostock)
1998
194–198 (electronic)

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ACM

Chairman: Volker Weispfenning and Barry Trager

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Rostock, Germany
1805183
20-04 (68W30)
ACM Order No.: 505980, ACM member price $25
Alexander
Hulpke

# Computing subgroups invariant under a set of automorphisms

1999
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4
415–427
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1681348 (2000a:20001)
20-04 (20D30)
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Journal of Symbolic Computation
Alexander
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# Conjugacy classes in finite permutation groups via homomorphic images

2000
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20B40
Alberto Delgado
MCMPAF
Mathematics of Computation
Alexander
Hulpke

# Representing subgroups of finitely presented groups by quotient subgroups

2001
10
3
369–381
1058-6458
1917425 (2003i:20049)
20F05 (20C34 20C40 68W30)
Dmitrii V. Pasechnik
Experimental Mathematics
Alexander
Hulpke

# Constructing transitive permutation groups

2005
39
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2168238 (2006e:20004)
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James E.
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Springer-Verlag
1972

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Graduate Texts in Mathematics, Vol. 9

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17BXX
F. W. Lemire
xii+169
James E.
Humphreys

# Introduction to Lie algebras and representation theory

Springer-Verlag
1978
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0-387-90053-5
499562 (81b:17007)
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I. P. Shestakov
xii+171
James E.
Humphreys

# Reflection groups and Coxeter groups

Cambridge University Press
1990
29
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0-521-37510-X
1066460 (92h:20002)
20-02 (20F32 20F55 20G15 20H15)
Louis Solomon
xii+204
James E.
Humphreys

# Reflection groups and Coxeter groups

Cambridge University Press
1990
29
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    Cambridge

0-521-37510-X
1066460 (92h:20002)
20-02 (20F32 20F55 20G15 20H15)
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# Endliche Gruppen. I

Springer-Verlag
1967
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J. H. Walter
xii+793
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Norman
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# Finite groups. II

Springer-Verlag
1982
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3-540-10632-4
650245 (84i:20001a)
20-02 (20Dxx)
xiii+531
Bertram
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# Character theory of finite groups

Walter de Gruyter & Co.
1998
25
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3-11-015421-8
1645304 (99j:20011)
20C15 (20C05 20C10)
Gerhard Hiss
vi+618
I. Martin
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# Character theory of finite groups

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1976

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Pure and Applied Mathematics, No. 69

0-12-374550-0
0460423 (57 #417)
20-02
Stephen D. Smith
xii+303
Hiroyuki
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A. G.
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# Two-element generation of orthogonal groups over finite fields

1994
165
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1272584 (95b:20069)
20G40 (20F05)
Jia-Chen Ye
JALGA4
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Hiroyuki
Ishibashi
A. G.
Earnest

# Addendum: ``Two-element generation of orthogonal groups over finite fields'' [J. Algebra \bf 165 (1994), no. 1, 164–171; MR1272584 (95b:20069)]

1996
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1398123 (97d:20061)
20G40 (20F05)
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A. G.
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# Erratum: ``Two-element generation of orthogonal groups over finite fields'' [J. Algebra \bf 165 (1994), no. 1, 164–171; MR1272584 (95b:20069)]

1994
170
3
1035
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1305274 (95h:20062)
20G40 (20F05)
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Adalbert
Kerber

# The representation theory of the symmetric group

Addison-Wesley Publishing Co., Reading, Mass.
1981
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Encyclopedia of Mathematics and its Applications

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20-02 (20C30)
A. O. Morris
xxviii+510
Christoph
Jansen
Klaus
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Richard
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Robert
Wilson

# An atlas of Brauer characters

The Clarendon Press Oxford University Press
1995
11
London Mathematical Society Monographs. New Series

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0-19-851481-6
1367961 (96k:20016)
20C20 (20-00 20D06 20D08)
J. L. Alperin
xviii+327
D. L.
Johnson

# Presentations of groups

Cambridge University Press
1997
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Second
0-521-58542-2
1472735 (98e:20001)
20-01 (20F05)
xii+216
Ansgar
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# Gitterbasen und Charaktere endlicher Gruppen

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1992
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David
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George
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# Representations of Coxeter groups and Hecke algebras

1979
53
2
165–184
0020-9910
560412 (81j:20066)
20H15 (17B35 20G05 22E47)
Vinay V. Deodhar
INVMBH
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Kemper
Frank
Lübeck
Kay
Magaard

# Matrix generators for the Ree groups {}^2G_2(q)

2001
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1
407–413
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20C33 (20D06)
COALDM
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Kerber

# Algebraic combinatorics via finite group actions

Bibliographisches Institut
1991

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1115208 (92k:05130)
05E10 (20C30)
A. O. Morris
436
Wolfgang
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Richard
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Robert
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David N.
Teague

# Composition factors from the group ring and Artin's theorem on orders of simple groups

Proc. London Math. Soc. (3)
1990
60
1
89--122
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1023806 (91c:20030)
20D06 (20C05 20D60)
P. Fong
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Peter
Kleidman
Martin
Liebeck

# The subgroup structure of the finite classical groups

Cambridge University Press
1990
129
London Mathematical Society Lecture Note Series

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0-521-35949-X
1057341 (91g:20001)
20-02 (20D06 20G40)
R. W. Carter
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Klimyk

# Decomposition of the direct product of irreducible representations of semisimple Lie algebras into irreducible representations

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1966
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5
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0041-6053
0206169 (34 #5991)
17.30 (22.60)
Renzo Cirelli
Akademiya Nauk Ukrainskoĭ SSR. Institut Matematiki. Ukrainskiĭ Matematicheskiĭ Zhurnal
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# Decomposition of a direct product of irreducible representations of a semisimple Lie algebra into irreducible representations

American Mathematical Society Translations. Series 2
American Mathematical Society
1968
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# The Art of Computer Programming, Volume 2: Seminumerical Algorithms

Addison-Wesley
1998
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# The art of computer programming. Vol. 2: Seminumerical algorithms

Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont
1969
0286318 (44 #3531)
68.00 (65.00)
M. Muller
xi+624
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# Algebraic number theory

Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont.
1970
282947
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G. Whaples
xi+354
Reinhard
Laue

# Zur Konstruktion und Klassifikation endlicher auflösbarer Gruppen

Universität Bayreuth
1982
9
0172-1062
polycyclic groups;;; classification
651224 (84e:20018)
20D10 (20-02)
T. O. Hawkes
Bayreuther Mathematische Schriften
Bayreuth. Math. Schr.
PAGES: ii + 304, 1 correction sheet, Earlier version: Habilitationsschrift, RWTH Aachen, 1980
ii+304
MR 84e:20018 (T. O. Hawkes), Zbl 479.20010 (H. Heineken)
Reinhard
Laue
Joachim
Neubüser
Ulrich
Schoenwaelder

# Algorithms for finite soluble groups and the SOGOS system

Computational group theory (Durham, 1982)
1984
Michael D.
Atkinson
105–135

    London

Academic Press
Durham1982
0-12-066270-1
polycyclic groups;;; algorithm description
760654 (86h:20023)
20D10 (20-04 20D15 20F05 68Q40)
Gerhard Pazderski
MR 86h:20023 (Gerhard Pazderski), Zbl 547:20012 (E. Kommissartschik)
Philippe
LeChenadec

# Canonical forms in finitely presented algebras

Pitman Publishing Ltd.
1986
Research Notes in Theoretical Computer Science

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0-273-08721-5
840218 (88b:68117)
68Q50 (03B35 03D03 08B05 20F05 68Q40)
Friedrich Otto
xii+201
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Leedham-Green
Leonard H.
Soicher

# Collection from the left and other strategies

1990
9
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Computational group theory, Part 1

0747-7171
1075430 (92b:20021)
20D10 (68Q25)
M. Greendlinger
Journal of Symbolic Computation
A. K.
Lenstra
H. W.
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L.
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# Factoring polynomials with rational coefficients

1982
261
4
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Daniel Lazard
MAANA3
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Jeffrey S.
Leon

# On an algorithm for finding a base and a strong generating set for a group given by generating permutations

1980
35
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572868 (82i:20004)
20-04 (20F05)
Colin M. Campbell
MCMPAF
Mathematics of Computation
MR 82i:20004 (Colin M. Campbell), Zbl 444.20001 (J. Neubüser)
Jeffrey S.
Leon

# Permutation group algorithms based on partitions. I. Theory and algorithms

1991
12
4-5
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Computational group theory, Part 2

0747-7171
1146516 (93c:68043)
68Q40 (20B40)
Jean Moulin Ollagnier
Journal of Symbolic Computation
Steve
Linton

# Vector Enumeration Programs, version 3

1993
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# A Polycyclic Quotient Algorithm

Rutgers University
1996
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Lübeck

# Conway polynomials for finite fields

http://www.math.rwth-aachen.de:8001/~Frank.Luebeck/data/ConwayPol
2003
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Luks
Ferenc
Rákóczi
Charles R. B.
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# Some algorithms for nilpotent permutation groups

1997
23
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1445430 (97m:68113)
68Q40 (20B05)
Journal of Symbolic Computation
George
Lusztig

# On a theorem of Benson and Curtis

1981
71
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0021-8693
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20G05 (14L30)
S. I. Gelʹfand
JALGA4
Journal of Algebra
George
Lusztig

# Characters of reductive groups over a finite field

Princeton University Press
1984
107
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    Princeton, NJ

0-691-08350-9; 0-691-08351-7
742472 (86j:20038)
20G05 (14L20 20C15)
Bhama Srinivasan
xxi+384
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Lux
H.
Pahlings

# Computational aspects of representation theory of finite groups

Representation theory of finite groups and finite-dimensional algebras (Bielefeld, 1991)
1991
G. O.
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37–64

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Birkhäuser
MR91
3-7643-2604-2
1112157 (92g:20025)
20C40
Wolfgang Knapp
I. G.
Macdonald

# Numbers of conjugacy classes in some finite classical groups

1981
23
1
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0004-9727
615131 (82j:20092)
20G40
Naohisa Shimomura
ALNBAB
Bulletin of the Australian Mathematical Society
Meena
Mahajan
V.
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# Determinant: combinatorics, algorithms, and complexity

1997
Article 5, 26 pp. (electronic)
1073-0486
1484546 (98m:15016)
15A15 (05C50 68Q15 68Q22 68R05)
H.-J. Hoehnke
Chicago Journal of Theoretical Computer Science
Gunter
Malle

# Degrés relatifs des algèbres cyclotomiques associées aux groupes de réflexions complexes de dimension deux

Finite reductive groups (Luminy, 1994)
1997
Marc
Cabanes
141
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311–332

    Boston, MA

Birkhäuser Boston

Related structures and representations

Luminy94
0-8176-3885-7
1429878 (98h:20019)
20C99 (20F55 20G40)
François Digne
Leonard
Soicher
John
McKay

# Computing Galois groups over the rationals

1985
20
3
273–281
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797178 (87a:12002)
12-04 (11R32 11Y40)
Hale F. Trotter
JNUTA9
Journal of Number Theory
D. H.
McLain

# An algorithm for determining defining relations of a subgroup

1977
18
1
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0017-0895
finitely presented groups; subgroup presentation; modified Todd Coxeter (mtc); algorithm description
0424950 (54 #12908)
20F05
N. S. Mendelsohn
Glasgow Mathematical Journal
MR 54 # 12908 (N. S. Mendelsohn), Zbl 348.20029 (Summary)
Matthias
Mecky
Joachim
Neubüser

# Some remarks on the computation of conjugacy classes of soluble groups

1989
40
2
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0004-9727
1012835 (91i:20001)
20-04 (20D10)
ALNBAB
Bulletin of the Australian Mathematical Society
Thomas
Merkwitz

# Markentafeln endlicher Gruppen

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1998
Diplomarbeit

    Aachen, Germany

Jürgen
Mnich

# Untergruppenverbände und auflösbare Gruppen in GAP

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1992
Diplomarbeit

    Aachen, Germany

groups; subgroup lattice, table of marks; cyclic extensions; algorithm description
Peter L.
Montgomery

# Modular multiplication without trial division

1985
44
170
519–521
0025-5718
777282 (86e:11121)
11Y16
MCMPAF
Mathematics of Computation
Francis D.
Murnaghan

# The orthogonal and symplectic groups

Comm. Dublin Inst. Adv. Studies. Ser. A, no.
1958
13
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0103933 (21 #2695)
20.00
J. S. Frame
John
McKay
Kiang Chuen
Young

# The nonabelian simple groups G, |G| < 10^{6}–minimal generating pairs

1979
33
146
812–814
0025-5718
521296 (80d:20018)
20D05 (20F05)
W. J. Wong
MCMPAF
Mathematics of Computation
B. D.
McKay

# nauty user's guide (version 1.5), Technical report TR-CS-90-02

Australian National University

    Computer Science Department, ANU

1990
Gabriele
Nebe

# Endliche rationale Matrixgruppen vom Grad 24

Rheinisch Westfälische Technische Hochschule
1995
Dissertation

    Aachen, Germany

Aachener Beiträge zur Mathematik
12
Gabriele
Nebe

# Finite subgroups of GL_n(Q) for 25 \leq n \leq 31

1996
24
7
2341–2397
0092-7872
1390378 (97e:20066)
20G15
Martin W. Liebeck
COALDM
Communications in Algebra
Joachim
Neubüser

# Die Untergruppenverbände der Gruppen der Ordnungen \leq 100 mit Ausnahme der Ordnungen 64 und 96

Universität Kiel
1967
Habilitationsschrift

    Kiel, Germany

PAGES: 370
Joachim
Neubüser

# An elementary introduction to coset table methods in computational group theory

Groups–St Andrews 1981 (St Andrews, 1981)
1982
Colin M.
Campbell
Edmund F.
Robertson
71
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1–45

    Cambridge

Cambridge Univ. Press
GrpsStAndrews81
0-521-28974-2
finitely presented groups; subgroup presentation, permutation representation, low index subgroups; Todd Coxeter (tc), modified Todd Coxeter (mtc); algorithm description, survey
679153 (84f:20004)
20-04 (20-02)
George Havas
MR 84f:20004 (George Havas), Zbl 489.20003 (G. Butler)
Jürgen
Neukirch

# Algebraische Zahlentheorie

Springer, Berlin, Heidelberg and New York
1992
Gabriele
Nebe
Wilhelm
Plesken

# Finite rational matrix groups of degree 16

74–144
AMS
1995
556
116
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0065-9266
1265024 (95k:20081)
20H20 (11E57)
V. D. Mazurov
MAMCAU
Memoirs of the American Mathematical Society
Mem. Amer. Math. Soc.
G.
Nebe
W.
Plesken

# Finite rational matrix groups

AMS
1995
556
Mem. Amer. Math. Soc.

vol. 116

0065-9266
1265024 (95k:20081)
20H20 (11E57)
V. D. Mazurov
MAMCAU
Memoirs of the American Mathematical Society
Mem. Amer. Math. Soc.
viii+144
Joachim
Neubüser
Herbert
Pahlings
Wilhelm
Plesken

# CAS; design and use of a system for the handling of characters of finite groups

Computational group theory (Durham, 1982)
1984
Michael D.
Atkinson
195–247

    London

Academic Press
Durham1982
0-12-066270-1
ordinary representations; characters
760658 (86i:20004)
20-04 (20C15 20C30 68Q40)
D. Wales
MR 86i:20004 (D. Hales), Zbl 546.20001 (G. Butler)
Joachim
Neubüser
Wilhelm
Plesken
Hans
Wondratschek

# An emendatory discursion on defining crystal systems

1981
10
77–96
0340-6253
620802 (82i:20059)
20H15 (51F15 82A60)
Daniel B. Litvin
Proceedings of the Conference on Kristallographische Gruppen (Univ. Bielefeld, Bielefeld, 1979), Part II
MATCDV
Match
Zbl 551.20033 (Author)
M. F.
Newman

# Determination of groups of prime-power order

Group theory (Proc. Miniconf., Australian Nat. Univ., Canberra, 1975)
1977
R. A.
Bryce
J.
Cossey
Michael F.
Newman
573
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73–84. Lecture Notes in Math., Vol. 573

    Berlin

Springer

Lecture Notes in Mathematics, Vol. 573

Canberra75
finitely presented groups, p-groups;; nilpotent quotient; application
0453862 (56 #12115)
20D15
Bruce W. King
MR 56 # 12115 (Bruce W. King), Zbl no ref
Michael F.
Newman

# Proving a group infinite

1990
54
3
209–211
0003-889X
1037607 (90j:20068)
20F05
D. L. Johnson
ACVMAL
Archiv der Mathematik
Michael F.
Newman
Eamonn A.
O'Brien

# A CAYLEY library for the groups of order dividing 128

Group theory (Singapore, 1987)
1989
Kai Nah
Cheng
Yu Kiang
Leong
437–442

    Berlin

de Gruyter
Singapore87
3-11-011366-X
981861 (90b:20002)
20-04 (20D15)
J. McKay
Felix
Noeske

# Zur Darstellungstheorie der Schurschen Erweiterungen symmetrischer Gruppen

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
2002
Diplomarbeit
Eamonn A.
O'Brien

# The p-group generation algorithm

1990
9
5-6
677–698

Computational group theory, Part 1

0747-7171
1075431 (91j:20050)
20D15
È. M. Palʹchik
Journal of Symbolic Computation
Eamonn A.
O'Brien

# The groups of order 256

1991
143
1
219–235
0021-8693
1128656 (93e:20029)
20D15 (20-04)
JALGA4
Journal of Algebra
Eamonn A.
O'Brien

# Isomorphism testing for p-groups

1994
17
2
131, 133–147
0747-7171
1283739 (95f:20040b)
20D15 (20D45 20F28)
Richard Davitt
Journal of Symbolic Computation
Eamonn A.
O'Brien

# Computing automorphism groups of p-groups

Computational algebra and number theory (Sydney, 1992)
1995
Wieb
Bosma
Alf
van der Poorten
325
83–90

    Dordrecht

Kluwer Acad. Publ.
1344923 (96g:20024)
20D15 (20D45)
Wolfgang Lempken
Michael F.
Newman
Eamonn A.
O'Brien

# Application of computers to questions like those of Burnside. II

1996
6
5
593–605
0218-1967
1419133 (97k:20002)
20-04 (20D15 20F05)
Colin M. Campbell
International Journal of Algebra and Computation
Thomas
Ostermann

# Charaktertafeln von Sylownormalisatoren sporadischer einfacher Gruppen

Universität Essen
1986

    Essen

872094 (88g:20002)
20-04 (20C20 20D08)
M. F. Newman
x+187
Universität Essen Fachbereich Mathematik
Vorlesungen aus dem Fachbereich Mathematik der Universität GH Essen [Lecture Notes in Mathematics at the University of Essen]
14
Herbert
Pahlings

# On the Möbius function of a finite group

1993
60
1
7–14
0003-889X
1193087 (94c:20039)
20D30
David Gluck
ACVMAL
Archiv der Mathematik
Richard A.
Parker

# The computer calculation of modular characters (the meat-axe)

Computational group theory (Durham, 1982)
1984
Michael D.
Atkinson
267–274

    London

Academic Press
Durham1982
0-12-066270-1
760660 (85k:20041)
20C20 (20-04)
Leo J. Alex
G.
Pfeiffer

# Von Permutationscharakteren und Markentafeln

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1991
Diplomarbeit

    Aachen, Germany

Götz
Pfeiffer

# Character tables of Weyl groups in GAP

1994
47
165–222
0172-1062
1285208 (95d:20027)
20C40 (20C15 20D06 20F40)
Stephen A. Linton
Bayreuther Mathematische Schriften
Götz
Pfeiffer

# Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula

1994
168
2
525–535
0021-8693
1292779 (95g:20012)
20C30 (20C15 20F55)
Arun Ram
JALGA4
Journal of Algebra
Götz
Pfeiffer

# Character values of Iwahori-Hecke algebras of type B

Finite reductive groups (Luminy, 1994)
1997
Marc
Cabanes
141
Progr. Math.
333–360

    Boston, MA

Birkhäuser Boston

Related structures and representations

Luminy94
0-8176-3885-7
1429879 (98a:20008)
20C15 (20F55)
Robert Bédard
Götz
Pfeiffer

# The subgroups of M_{24}, or how to compute the table of marks of a finite group

1997
6
3
247–270
1058-6458
1481593 (98h:20032)
20D30 (20D08)
A. S. Kondratʹev
Experimental Mathematics
Günter
Pilz

# Near-rings

North-Holland Publishing Co.
1983
23
North-Holland Mathematics Studies

    Amsterdam

Second

The theory and its applications

0-7204-0566-1
721171 (85h:16046)
16A76 (16-02)
J. R. Clay
xv+470
Wilhelm
Plesken

# Finite unimodular groups of prime degree and circulants

1985
97
1
286–312
0021-8693
812182 (87c:20020)
20C10 (20G40)
Wolfgang Knapp
JALGA4
Journal of Algebra
Wilhelm
Plesken

# Solving XX^{\rm tr} = A over the integers

1995
226/228
331--344
0024-3795
1344572 (96h:15016)
15A24
M. C. Chaki
LAAPAW
Linear Algebra and its Applications
Wilhelm
Plesken
Gabriele
Nebe

# Finite rational matrix groups

1–73
AMS
1995
556
116
NPbook95
0065-9266
1265024 (95k:20081)
20H20 (11E57)
V. D. Mazurov
MAMCAU
Memoirs of the American Mathematical Society
Mem. Amer. Math. Soc.
G.
Nebe
W.
Plesken

# Finite rational matrix groups

1995
116
556
viii+144
0065-9266
1265024 (95k:20081)
20H20 (11E57)
V. D. Mazurov
MAMCAU
Memoirs of the American Mathematical Society
Wilhelm
Plesken
Michael
Pohst

# On maximal finite irreducible Subgroups of GL(n,Z). I. The five and seven dimensional cases, II. The six dimensional case

1977
31
536–576
MR 56 # 3137a, 3137b (Wolfgang Knapp), Zbl 359.20006, 359.20007 (authors)
Wilhelm
Plesken
Michael
Pohst

# On maximal finite irreducible subgroups of GL(n, Z). I. The five and seven dimensional cases

1977
31
138
536–551
0025-5718
0444789 (56 #3137a)
20G05
Wolfgang Knapp
Mathematics of Computation
Wilhelm
Plesken
Michael
Pohst

# On maximal finite irreducible subgroups of GL(n, Z). II. The six dimensional case

1977
31
138
552–573
0025-5718
0444790 (56 #3137b)
20G05
Wolfgang Knapp
Mathematics of Computation
Wilhelm
Plesken
Michael
Pohst

# On maximal finite irreducible Subgroups of GL(n,Z). III. The nine dimensional case, IV. Remarks on even dimensions with application to n = 8, V. The eight dimensional case and a complete description of dimensions less than ten

1980
34
245–301
MR 81b:20012a, 81b:20012b, 81b:20012c (Wolfgang Knapp), Zbl 431.20039, 431.20040, 431.20041 (authors)
Wilhelm
Plesken
Michael
Pohst

# On maximal finite irreducible subgroups of GL(n, Z). III. The nine-dimensional case

1980
34
149
245–258
0025-5718
551303 (81b:20012a)
20C10
Wolfgang Knapp
MCMPAF
Mathematics of Computation
Wilhelm
Plesken
Michael
Pohst

# On maximal finite irreducible subgroups of GL(n, Z). IV. Remarks on even dimensions with applications to n = 8

1980
34
149
259–275
0025-5718
551304 (81b:20012b)
20C10
Wolfgang Knapp
MCMPAF
Mathematics of Computation
Wilhelm
Plesken
Michael
Pohst

# On maximal finite irreducible subgroups of GL(n, Z). V. The eight-dimensional case and a complete description of dimensions less than ten

1980
34
149
277–301, loose microfiche suppl
0025-5718
551305 (81b:20012c)
20C10
Wolfgang Knapp
MCMPAF
Mathematics of Computation
M.
Pohst

# A modification of the LLL reduction algorithm

1987
4
1
123–127
0747-7171
908420 (89c:11183)
11Y16 (11H06 11R27 11Y05 68Q20)
Hans G. Kopetzky
Journal of Symbolic Computation
Arun
Ram

# A Frobenius formula for the characters of the Hecke algebras

1991
106
3
461–488
0020-9910
1134480 (93c:20029)
20C30 (05E05 16W30 17B37)
Jie Du
INVMBH
Inventiones Mathematicae
Colin
Ramsay

# ACE for Amateurs

Centre for Discrete Mathematics and Computing, The University of Queensland
1999

Draft

C.
Ramsay

# ACE User Manual

    Department   of   Computer   Science   &   Electrical
                          Engineering   and   Department   of  Mathematics,  The
      University of Queensland, QLD 4072, Australia

1999

Draft

Centre for Discrete Mathematics and Computing
Michael
Ringe

# The C MeatAxe, Release 1.5

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule

    Aachen, Germany

1993
Michael
Ringe

# The C MeatAxe, Release 2.3

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule

    Aachen, Germany

1998
Edmund F.
Robertson

# Tietze transformations with weighted substring search

1988
6
1
59–64
0747-7171
finitely presented groups; simplification; Tietze transformations
961370 (89h:68076)
68Q40 (20F05)
Journal of Symbolic Computation
Colva M.
Roney-Dougal
William R.
Unger

# The affine primitive permutation groups of degree less than 1000

2003
35
4
421–439
0747-7171
1976576 (2004e:20002)
20B15
Xianhua Li
Journal of Symbolic Computation
Colva M.
Roney-Dougal

# The primitive permutation groups of degree less than 2500

2005
292
1
154–183
0021-8693
2166801 (2006e:20005)
20B15
Michael Giudici
JALGA4
Journal of Algebra
Gordon F.
Royle

# The transitive groups of degree twelve

1987
4
2
255–268
0747-7171
922391 (89b:20010)
20B05
Martin W. Liebeck
Journal of Symbolic Computation
L. J.
Rylands
D. E.
Taylor

# Matrix generators for the orthogonal groups

1998
25
3
351–360
0747-7171
1615330 (99d:20078)
20G40
A. G. Earnest
Journal of Symbolic Computation
L. L.
Scott

# Modular permutation representations

1973
175
101–121
0002-9947
0310051 (46 #9154)
20C20
H. K. Farahat
Transactions of the American Mathematical Society
Gerhard J. A.
Schneider

# Dixon's character table algorithm revisited

1990
9
5-6
601–606

Computational group theory, Part 1

0747-7171
1075426 (91j:20036)
20C40 (20-04 20C15 68Q40)
Jamshid Moori
Journal of Symbolic Computation
Michael
Scherner

# Erweiterung einer Arithmetik von Kreisteilungskörpern auf deren Teilkörper und deren Implementation in GAP

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1992
Diplomarbeit

    Aachen, Germany

Ute
Schiffer

# Cliffordmatrizen

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1994
Diplomarbeit

    Aachen, Germany

Ákos
Seress

# Nearly linear time algorithms for permutation groups: an interplay between theory and practice

1998
52
1-3
183–207

Algebra and combinatorics: interactions and applications (Königstein, 1994)

0167-8019
1649697 (2000e:20008)
20B40 (20-04 68W30)
Miguel Á. Borges-Trenard
AAMADV
Acta Applicandae Mathematicae. An International Survey Journal on Applying Mathematics and Mathematical Applications
Ákos
Seress

# Permutation Group Algorithms

Cambridge University Press
2003
9780511546549
G. C.
Shephard
J. A.
Todd

# Finite unitary reflection groups

Canadian J. Math.
1954
6
274–304
0059914 (15,600b)
20.0X
H. S. M. Coxeter
M. W.
Short

# The primitive soluble permutation groups of degree less than 256

Springer-Verlag
1992
1519
Lecture Notes in Mathematics

    Berlin

3-540-55501-3
1176516 (93g:20006)
20B15 (20B35 20B40 20F16)
A. S. Kondratʹev
x+145
Charles C.
Sims

# Computational methods in the study of permutation groups

Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967)
1970
John
Leech
29
Proceedings of a Conference held at Oxford under the auspices of the Science Research Council, Atlas Computer Laboratory
169–183

    Oxford

Pergamon
Oxford67
permutation groups; primitive groups, classification of, stabilizer chain; Schreier Sims
0257203 (41 #1856)
20.20 (65.00)
H. Kimura
RUSSIAN translation in: Computations in algebra and number theory (Russian), edited by B. B. Venkov and D. K. Faddeev, pp. 129–147, Matematika, Novoie v Zarubeznoi Naukie, vol. 2, Izdat. MIR, Moscow, 1976
MR 41 # 1856 (H. Kimura), Zbl 215, 100 (J. McKay), CR 11 # 19,829 (G. N. Raney)
Charles C.
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# Computing the order of a solvable permutation group

1990
9
5-6
699–705

Computational group theory, Part 1

0747-7171
1075432 (91m:20011)
20B40
Gerhard Hiss
Journal of Symbolic Computation
Charles C.
Sims

# Computation with finitely presented groups

Cambridge University Press
1994
48
Encyclopedia of Mathematics and its Applications

    Cambridge

0-521-43213-8
1267733 (95f:20053)
20F05 (20-02 68Q40 68Q42)
Friedrich Otto
xiii+604
Charles C.
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# Computing with subgroups of automorphism groups of finite groups

Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation (Kihei, HI)
1997
Wolfgang
Küchlin
400–403 (electronic)

    New York

The Association for Computing Machinery
ACM

Held in Kihei, HI, July 21–23, 1997

ACM
ISSAC97
1810006
68W30 (20D45)

# SOGOS - A Program System for Handling Subgroups of Finite Soluble Groups, version 5.0, User's reference manual

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule

    Aachen, Germany

1989
groups, finitely presented groups, polycyclic groups, nilpotent groups, p-groups; SOGOS, pc-presentation, ag-presentation, collection, elements, classes of conjugate elements, centralizer, normalizer, normal closure, intersection, sylow subgroups, derived subgroup, series, central series, p-central series, subgroup lattice, table of marks, complements, factor groups; nilpotent quotient (nq); manual
Leonard H.
Soicher

# GRAPE: a system for computing with graphs and groups

Groups and computation (New Brunswick, NJ, 1991)
1993
Larry
Finkelstein
William M.
Kantor
11
DIMACS Ser. Discrete Math. Theoret. Comput. Sci.
287–291

    Providence, RI

Amer. Math. Soc.
DIMACS
0-8218-6599-4
1235810
05C85 (20B40)
Bernd
Souvignier

# Irreducible finite integral matrix groups of degree 8 and 10

1994
63
207
335–350

With microfiche supplement

0025-5718
1213836 (94i:20091)
20H15 (11E12 20C10 20C40)
Alexander W. Mason
MCMPAF
Mathematics of Computation

# SPAS - Subgroup Presentation Algorithms System, version 2.5, User's reference manual

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule

    Aachen, Germany

1989
SPAS
finitely presented groups; SPAS, subgroup presentation, simplification, low index subgroups; Todd Coxeter (tc), modified Todd Coxeter (mtc), Reidemeister Schreier (rs), reduced Reidemeister Schreier (rrs), Tietze transformations, tree decoding; manual
T. A.
Springer

# Linear algebraic groups

Birkhäuser Boston
1981
9
Progress in Mathematics

    Mass.

3-7643-3029-5
632835 (84i:20002)
20-02 (20Gxx)
x+304
John R.
Stembridge

# On the eigenvalues of representations of reflection groups and wreath products

1989
140
2
353–396
0030-8730
1023791 (91a:20022)
20C30 (20C15)
A. Kerber
PJMAAI
Pacific Journal of Mathematics
D. E.
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# Pairs of Generators for Matrix Groups. I

The Cayley Bulletin
1987
3
https://arxiv.org/abs/2201.09155
D. E.
Taylor

# Conjugacy Classes in Finite Conformal Symplectic Groups

2021
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Heiko
Theißen

# Methoden zur Bestimmung der rationalen Konjugiertheit in endlichen Gruppen

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1993
Diplomarbeit

    Aachen, Germany

Heiko
Theißen

# Eine Methode zur Normalisatorberechnung in Permutationsgruppen mit Anwendungen in der Konstruktion primitiver Gruppen

Rheinisch Westfälische Technische Hochschule
1997
Dissertation

    Aachen, Germany

Peter
Thiemann

# SOGOS III - Charaktere und Effizienzuntersuchung

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1987
Diplomarbeit

    Aachen, Germany

John G.
Thompson

# Some finite groups which appear as {\rm Gal}\,L/K, where K\subseteq {\bf Q}(\mu_n)

Group theory, Beijing 1984
Springer, Berlin
1986
1185
Lecture Notes in Math.
210–230
Beijing84
842445
11R32 (12F10 20C99)
Richard Massy
https://doi.org/10.1007/BFb0076176
10.1007/BFb0076176
Michael R.
Vaughan-Lee

# An aspect of the nilpotent quotient algorithm

Computational group theory (Durham, 1982)
1984
Michael D.
Atkinson
75–83

    London

Academic Press
Durham1982
0-12-066270-1
760652 (86b:20040)
20F05 (20-04 20D15 68Q40)
M. F. Newman
Michael R.
Vaughan-Lee

# Collection from the left

1990
9
5-6
725–733

Computational group theory, Part 1

0747-7171
1075434 (92c:20065)
20F12 (20-04 20D15 20F18)
M. Greendlinger
Journal of Symbolic Computation
Academic Press
Michael
Vaughan-Lee

# The restricted Burnside problem

The Clarendon Press Oxford University Press
1990
5
London Mathematical Society Monographs. New Series

    New York

, Oxford Science Publications

0-19-853573-2
1057610 (92c:20001)
20-02 (20F12 20F40 20F45 20F50)
Norman Blackburn
xiv+209
Robert W.
van der Waall

# On symplectic primitive modules and monomial groups

Nederl. Akad. Wetensch. Proc. Ser. A 79, Indag. Math.
1976
38
4
362–375
0424931 (54 #12889)
20D10
T. R. Berger
Stan
Wagon

# Editor's corner: the Euclidean algorithm strikes again

1990
97
2
125–129
0002-9890
1041889 (91b:11039)
11E25 (11Y50)
K. S. Williams
AMMYAE
The American Mathematical Monthly
Helmut
Wielandt

# Permutation groups through invariant relations and invariant functions

Department of Mathematics, The Ohio State University
1969
Lecture Notes
Robert A.
Wilson
Peter
Walsh
Jonathan
Tripp
Ibrahim
Suleiman
Richard A.
Parker
Simon P.
Norton
Simon
Nickerson
Steve
Linton
John
Bray
Rachel
Abbott

# ATLAS of Finite Group Representations

http://brauer.maths.qmul.ac.uk/Atlas/
ATLAS
John N.
Bray
Ibrahim A. I.
Suleiman
Peter G.
Walsh
Robert A.
Wilson

# Generating maximal subgroups of sporadic simple groups

2001
29
3
1325–1337
0092-7872
1842416 (2002e:20032)
20D08
Hiroyoshi Yamaki
COALDM
Communications in Algebra
Robert A.
Wilson

# Standard generators for sporadic simple groups

1996
184
2
505–515
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20D08
JALGA4
Journal of Algebra
Hans
Wondratschek

# Introduction to space-group symmetry

International Tables for Crystallography, Vol. A
Kluwer, Dordrecht
1995
Theo
Hahn
711–735
4th

Space-group symmetry

Hah95
Martin
Wursthorn

# SISYPHOS Computing in modular group algebras, Version 0.5

Math. Inst. B, 3. Lehrstuhl

    Universität Stuttgart

1993
D.
Zagier

# A one-sentence proof that every prime p \equiv 1 \pmod 4 is a sum of two squares

1990
97
2
144
0002-9890
1041893 (91b:11040)
11E25
K. S. Williams
AMMYAE
The American Mathematical Monthly
Matthias
Zumbroich

# Grundlagen einer Arithmetik in Kreisteilungskörpern und ihre Implementation in CAS

Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule
1989
Diplomarbeit

    Aachen, Germany

John
Leech

# Computational problems in abstract algebra

1970
29
Proceedings of a Conference held at Oxford under the auspices of the Science Research Council, Atlas Computer Laboratory

    Oxford

Pergamon Press
0252149 (40 #5374)
00.04 (10.00)
Computational Problems in Abstract Algebra, Proc. Conf. Oxford, 1967
x+402
MR 40#5374, Zbl 186.299
Michael F.
Newman

# Proceedings of the Second International Conference on the Theory of Groups

1974
372
Lecture Notes in Math.

    Berlin

Springer-Verlag

Held at the Australian National University, Canberra, August 13–24, 1973, With an introduction by B. H. Neumann, Lecture Notes in Mathematics, Vol. 372

0344315 (49 #9054)
20-06
Proceedings of the Second International Conference on the Theory of Groups, Canberra, 1973
vii+740
MR 49#9054, Zbl 282.00012
R. A.
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J.
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Michael F.
Newman

# Group theory

1977
573
Lecture Notes in Math.

    Berlin

Springer-Verlag

Lecture Notes in Mathematics, Vol. 573

0430032 (55 #3040)
20-06
Group theory, Proc. Miniconf., Austral. Nat. Univ., Canberra, 1975
v+146
MR 55#3040, Zbl 342.00008
Jens L.
Mennicke

# Burnside groups

1980
806
Lecture Notes in Mathematics

    Berlin

Springer
3-540-10006-7
586041 (81j:20002)
20-06
Proceedings of a Workshop held at the University of Bielefeld, Bielefeld, June–July 1977
ii+274
MR 81j:20002, Zbl 424.00008
Edward W.
Ng

# Symbolic and algebraic computation

1979
72
Lecture Notes in Computer Science

    Berlin

Springer-Verlag

EUROSAM '79, an International Symposium held in Marseille, June 1979

3-540-09519-5
575677 (81d:68005)
68-06 (68C20)
xv+557
Michael D.
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# Computational group theory

1984

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Academic Press Inc. [Harcourt Brace Jovanovich Publishers]
0-12-066270-1
760641 (85g:20001)
20-06 (68-06)
Proceedings of the London Mathematical Society symposium held in Durham, July 30–August 9, 1982
xii+375
Colin M.
Campbell
Edmund F.
Robertson

# Groups–St. Andrews 1981

1982
71
London Mathematical Society Lecture Note Series

    Cambridge

Cambridge University Press
0-521-28974-2
679152 (83j:20005)
20-06
Proceedings of the International Conference on Groups held at the Mathematical Institute, University of St Andrews, St. Andrews, July 25–August 8, 1981
viii+360
Hsio-Fu
Tuan

# Group theory, Beijing 1984

1986
1185
Lecture Notes in Mathematics
Springer-Verlag, Berlin
3-540-16456-1
842438
20-06
https://doi.org/10.1007/BFb0076169
Proceedings of an international symposium held at Beijing University, Beijing, August 27–September 8, 1984
10.1007/BFb0076169
vi+403
Kai Nah
Cheng
Yu Kiang
Leong

# Group theory

1989

    Berlin

Walter de Gruyter & Co.
3-11-011366-X
981831 (89j:20001)
20-06
Proceedings of the Singapore Group Theory Conference held at the National University of Singapore, Singapore, June 8–19, 1987
xviii + 586
G. O.
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C. M.
Ringel

# Representation theory of finite groups and finite-dimensional algebras

1991
95
Progress in Mathematics

    Basel

Birkhäuser Verlag
3-7643-2604-2
1112154 (91m:20005)
20-06 (00B25 16-06 20Cxx)
Proceedings of the conference held at the University of Bielefeld, Bielefeld, May 15–17, 1991
x+520

# Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation (ISSAC'91), Bonn 1991

1991
ACM Press
Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC'91), Bonn 1991
Wolfgang
Küchlin

# Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation

1997

    New York

The Association for Computing Machinery
Association for Computing Machinery (ACM)

Held in Kihei, HI, July 21–23, 1997

ACM
1809584 (2001i:68010)
68-06 (65-06 68W30)
electronic
Oliver
Gloor

# Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation

1998

    New York

The Association for Computing Machinery
Association for Computing Machinery (ACM)

Held in Rostock, August 13–15, 1998

ACM
1805195 (2001m:68004)
68-06 (00B25 68W30)
front matter+321 pp. (electronic)
Larry
Finkelstein
William M.
Kantor

# Groups and computation

1993
DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 11

    Providence, RI

American Mathematical Society
0-8218-6599-4
1235790 (94c:20003)
20-06 (20B40)
Proceedings of the DIMACS Workshop held at Rutgers University, New Brunswick, New Jersey, October 7–10, 1991
xx+313
Larry
Finkelstein
William M.
Kantor

# Groups and computation. II

1997
DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 28

    Providence, RI

American Mathematical Society
0-8218-0516-9
1444126 (97m:20003)
20-06 (68-06)
Proceedings of the 2nd DIMACS Workshop held at Rutgers University, New Brunswick, NJ, June 7–10, 1995
xviii+382
William M.
Kantor
Ákos
Seress

# Groups and computation. III

2001
Ohio State University Mathematical Research Institute Publications, 8

    Berlin

Walter de Gruyter & Co.
3-11-016721-2
1829467 (2002d:20003)
20-06
Proceedings of the 3rd International Conference held at The Ohio State University, Columbus, OH, June 15–19, 1999
viii+368
Gilbert
Baumslag
David
Epstein
Robert
Gilman
Hamish
Short
Charles
Sims

# Geometric and computational perspectives on infinite groups

1996
DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 25

    Providence, RI

American Mathematical Society
0-8218-0449-9
1364175 (96g:20055)
20F32 (20-06)
Proceedings of the Joint DIMACS/Geometry Center Workshop held at the University of Minnesota, Minneapolis, Minnesota, January 3–14, 1994 and Rutgers University, New Brunswick, New Jersey, March 17–20, 1994
xvi+212
Colin M.
Campbell
Thaddeus C.
Hurley
Edmund F.
Robertson
Sean J.
Tobin
James J.
Ward

# Groups '93 Galway/St. Andrews. Vol. 1

1995
211
London Mathematical Society Lecture Note Series

    Cambridge

Cambridge University Press
0-521-47749-2
1342775 (96b:20001a)
20-06
Proceedings of the International Conference held at University College, Galway, August 1–14, 1993
xii+304
Colin M.
Campbell
Thaddeus C.
Hurley
Edmund F.
Robertson
Sean J.
Tobin
James J.
Ward

# Groups '93 Galway/St. Andrews. Vol. 2

1995
212
London Mathematical Society Lecture Note Series

    Cambridge

Cambridge University Press
0-521-47750-6
1337278 (96b:20001b)
20-06
Proceedings of the International Conference held at University College, Galway, August 1–14, 1993
i–xii and 305–609
Marc
Cabanes

# Finite reductive groups

1997
141
Progress in Mathematics

    Boston, MA

Birkhäuser Boston Inc.

Related structures and representations

0-8176-3885-7
1429866 (97i:20001)
20-06 (20G40)
Proceedings of the International Conference held in Luminy, October 3–7, 1994
xii+452

# ISSAC '98: Proceedings of the 1998 international symposium on Symbolic and algebraic computation

1998

    New York, NY, USA

ACM
ACM Press

Chairman: Volker Weispfenning and Barry Trager

1-58113-002-3
Rostock, Germany
ISSAC '98: Proceedings of the 1998 international symposium on Symbolic and algebraic computation
ACM Order No.: 505980, ACM member price $25
J.
Schur

# On the representation of the symmetric and alternating groups by fractional linear substitutions

Internat. J. Theoret. Phys.
2001
40
1
413–458

Translated from the German [J. Reine Angew. Math. 139 (1911), 155–250] by Marc-Felix Otto

0020-7748
1820589 (2003a:20016)
20C25 (05E05 20C30)
Tadeusz Józefiak
https://doi.org/10.1023/A:1003772419522
IJTPBM
10.1023/A:1003772419522
International Journal of Theoretical Physics
J.
Schur

# Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen

Journal für die reine und angewandte Mathematik
1911
139
155–250
http://www.digizeitschriften.de/resolveppn/GDZPPN002167298
42.0154.02
Lukas
Maas

# On a construction of the basic spin representations of symmetric groups

Communications in Algebra
2010
38
4545–4552
https://doi.org/10.1080/00927872.2010.490541
https://arxiv.org/abs/0911.3794
10.1080/00927872.2010.490541
John
Brillhart
D.H.
Lehmer
J.L.
Selfridge

# New primality criteria and factorizations of 2^m \pm 1

Mathematics of Computation
1975
29
620–647
https://doi.org/10.2307/2005583
10.2307/2005583
John N.
Bray
Derek F.
Holt
Colva M.
Roney-Dougal

# The maximal subgroups of the low-dimensional finite classical groups

Cambridge University Press
2013
407
London Mathematical Society Lecture Note Series

    Cambridge

978-0-521-13860-4
3098485
20G40 (20E28)
Nadia P. Mazza
xiv+438
10.1017/CBO9781139192576
Donald E.
Taylor

# The geometry of the classical groups

Heldermann Verlag, Berlin
1992
9
Sigma Series in Pure Mathematics
3-88538-009-9
1189139
20E32 (20E34 20E42 20G40 51E24)
Gernot Stroth
xii+229