Compute the automorphism group of a p-Group in GAP
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.
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