<?xml version="1.0" encoding="UTF-8"?>

<!-- This is an automatically generated file. -->
<TitlePage>
  <Title>
    AutPGrp
  </Title>
  <Subtitle>
    Computing the Automorphism Group of a p-Group
  </Subtitle>
  <Version>
    1.12.0
  </Version>
  <Author>
    Bettina Eick
<Address>
Institut Analysis und Algebra<Br/>
TU Braunschweig<Br/>
Universitätsplatz 2<Br/>
D-38106 Braunschweig<Br/>
Germany<Br/>
</Address>
<Email>beick@tu-bs.de</Email>
<Homepage>http://www.iaa.tu-bs.de/beick</Homepage>
  </Author>
  <Author>
    Eamonn O'Brien
<Address>
Department of Mathematics<Br/>
University of Auckland<Br/>
Private Bag 92019<Br/>
 Auckland<Br/>
 New Zealand<Br/>
</Address>
<Email>obrien@math.auckland.ac.nz</Email>
<Homepage>http://www.math.auckland.ac.nz/~obrien</Homepage>
  </Author>
  <Date>
    17 May 2026
  </Date>
  <Abstract>
              The &AUTPGRP; package introduces a new
          function to compute the automorphism group of a finite
          <M>p</M>-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.
  </Abstract>
  <Copyright>
              Bettina Eick and Eamonn O'Brien.<P/>

          AutPGrp is free software; you can redistribute it and/or modify
          it under the terms of the <URL Text="GNU General Public License">
          https://www.fsf.org/licenses/gpl.html</URL> as published by the
          Free Software Foundation; either version 2 of the License, or (at
          your option) any later version.
  </Copyright>
  <Acknowledgements>
              We thank Alexander Hulpke for helping us with efficiency
          problems. Werner Nickel provided some functions from
          the &GAP; <C>PQuotient</C> which are used in this package.
        
  </Acknowledgements>
  </TitlePage>