Compute the automorphism group of a p-Group in GAP
Description
The AutPGrp package introduces a new function to compute the
automorphism group of a finite p-group. The underlying algorithm is a
refinement of the methods described in O'Brien (1995). In particular,
this implementation is more efficient in both time and space
requirements and hence has a wider range of applications than the ANUPQ
method. Our package is written in GAP code and it makes use of a
number of methods from the GAP library such as the MeatAxe for matrix
groups and permutation group functions. We have compared our method to
the others available in GAP. Our package usually out-performs all but
the method designed for finite abelian groups. We note that our method
uses the small groups library in certain cases and hence our algorithm
is more effective if the small groups library is installed.
