Macaulay2 » Documentation
Packages » CpMackeyFunctors :: makeKGroupMackeyFunctor
next | previous | forward | backward | up | index | toc

# makeKGroupMackeyFunctor -- constructs the $K$-group Mackey functor

- Usage:
    `makeKGroupMackeyFunctor(p,q,n)`
- Inputs:
  - p, an integer, a prime number $p$
  - q, an integer, a prime power $q$
  - n, an integer, a positive integer $n$
- Outputs:
  - a C_p Mackey Functor, the fixed point $C_p$-Mackey functor of the algebraic $K$-group $K_{2n-1}(\mathbb{F}_{q^p})$.

## Description

    i1 : makeKGroupMackeyFunctor(5,9,4)

    o1 =                      Res : | 1853302661441605 |
         cokernel | 6560 |  ------------------------------> cokernel | 12157665459056928800 |  -┐ Conj : | 6561 |
                           <------------------------------                                     <┘
                              Tr : | 1 |

    o1 : CpMackeyFunctor

## See also

- list of common Mackey functors -- a list of common Cp-Mackey functors

## Ways to use makeKGroupMackeyFunctor:

- `makeKGroupMackeyFunctor(ZZ,ZZ,ZZ)`

## For the programmer

The object makeKGroupMackeyFunctor is a method function.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/CpMackeyFunctors/Documentation/ConstructorsDoc.m2:351:0.