57 ANU Pq

The ANU p-quotient program (pq) may be called from GAP. Using this program, GAP provides access to the following: the p-quotient algorithm; the p-group generation algorithm; a standard presentation algorithm; an algorithm to compute the automorphism group of a p-group.

The following section describes the function Pq, which gives access to the p-quotient algorithm.

The next section describes the function PqDescendants, which gives access to the p-group generation algorithm.

The next sections describe functions for saving results to file (see PqList and SavePqList).

The next section describes the function StandardPresentation which gives access to the standard presentation algorithm and to the algorithm used to compute the automorphism group of a p-group.

The last sections describes the function IsIsomorphicPGroup which implements an isomorphism test for p-groups using the standard presentation algorithm.

Subsections

1. Pq
2. PqHomomorphism
3. PqDescendants
4. PqList
5. SavePqList
6. StandardPresentation
7. IsomorphismPcpStandardPcp
8. AutomorphismsPGroup
9. IsIsomorphicPGroup