The GAP 4 package ANUPQ provides an interface to the ANU
progam written by Eamonn O'Brien, making the functionality of the C
program available to GAP. Henceforth, we shall refer to the ANUPQ
package when referring to the GAP interface, and to the ANU
program or just
pq when referring to that C program.
pq program consists of implementations of the following algorithms:
pqprogram is not accessible through the ANUPQ package. Instead, users are advised to consider the GAP 4 package AutPGrp by Bettina Eick and Eamonn O'Brien, which implements a better algorithm in GAP for the computation of automorphism groups of p-groups.
The current version of the ANUPQ package requires GAP 4.4, and version 1.2 of the AutPGrp package. All code that made the package compatible with earlier versions of GAP has been removed. If you still have GAP 4.3 (at least fix4), then you must use ANUPQ 2.2, and AutPGrp 1.1. You should not use earlier versions of the ANUPQ package since they are known to have bugs.
How to read this manual
It is not expected that readers of this manual will read it in a linear fashion from cover to cover; some sections contain material that is far too technical to be absorbed on a first reading.
Firstly, installers of the ANUPQ package will need to read
Chapter Installing the ANUPQ package, if they have not already gleaned
these details from the
Once the ANUPQ package is installed, users of the ANUPQ package will benefit most by first reading Chapter Mathematical Background and Terminology, which gives a brief description of the background and terminology used (this chapter also cites a number of references for further reading), and the introduction of Chapter Infrastructure (skip the remainder of the chapter on a first reading).
Then the user/reader should pursue Chapter Non-interactive ANUPQ functions in detail, delving into Chapter ANUPQ Options as necessary
for the options of the functions that are described. The user will become
best acquainted with the ANUPQ package by trying the examples. This
chapter describes the non-interactive functions of the ANUPQ package,
i.e. ``one-shot'' functions that invoke the
pq program in such a way
that once GAP has got what it needs, the
pq is allowed to exit. It
is expected that most of the time, users will only need these functions.
Advanced users will want to explore Chapter Interactive ANUPQ functions
which describes all the interactive functions of the ANUPQ package;
these are functions that extract information via a dialogue with a
pq process. Occasionally, a user needs the ``next step''; the
functions provided in this chapter make use of data from previous steps
retained by the
pq program, thus allowing the user to interact with the
pq program like one can when one uses the
pq program as a stand-alone
guide.dvi in the
After having read Chapters Non-interactive ANUPQ functions and Interactive ANUPQ functions, cross-references will have taken the reader into Chapter ANUPQ Options; by this stage, the reader need only read the introduction of Chapter ANUPQ Options.
After the reader has developed some facility with the ANUPQ package, she should explore the examples described in Appendix Examples.
If you run into trouble using the ANUPQ functions, some troubleshooting hints are given in Section Hints and Warnings regarding the use of Options. If the troubleshooting hints don't help, Section Authors and Acknowledgements below, gives contact details for the authors of the components of the ANUPQ package.
The C implementation of the ANU
pq standalone was developed by
Eamonn O'Brien Department of Mathematics University of Auckland Private Bag 92019 Auckland New Zealand
The GAP 4 version of this package was adapted from the GAP 3 version by
Werner Nickel AG 2, Fachbereich Mathematik, TU Darmstadt Schlossgartenstr. 7, 64289 Darmstadt, Germany
An interactive interface using iostreams was developed with the assistance of Werner Nickel by
Lehrstuhl D für Mathematik, RWTH Aachen
Templergraben 64, 52062 Aachen, Germany
The authors would like to thank Joachim Neubüser for his careful proof-reading and advice, and for formulating Chapter Mathematical Background and Terminology.
We would also like to thank Bettina Eick who by her testing and provision of examples helped us to eliminate a number of bugs and who provided a number of valuable suggestions for extensions of the package beyond the GAP 3 capabilities.
If you find a bug, the last section of ANUPQ's
README describes the
information we need and where to send us a bug report; please take the
time to read this (i.e. help us to help you).
Below we list the main changes between versions of the ANUPQ package.
ReadPackage, including in the
pqprogram code (so
pqprogram is now version 1.8).
IsPqIsomorphicPGroupusing suggestion made by Marco Costantini (thanks Marco).
pkgbanneroption that used to control how the ANUPQ package banner was displayed.
pqprogram (now version 1.7) modified to avoid overflow.
pqprogram properly. This bug could result in computing the wrong number of descendants if a
StepSizedifferent from 1 was chosen.
[grp]as default filename instead of
pqprogram with cygwin, and
PqQuitAll()more often in test examples. This reduces the number of simultaneously running processes and avoids bumping into system limits.
pqprogram (now version 1.6) and GAP code to fix bug reported by Boris Girnat (thanks Boris!) where too many descendants were generated for a group of class more than 1 with insoluble automorphism group. Also more changes for GAP 4.4, for which
pkgbannerfor suppression of the package banner is deprecated (now does nothing); its function is now provided by an optional argument of the
LoadPackage; see Section LoadPackage in the GAP Reference Manual); and
InfoANUPQlevel 1, and so cannot be suppressed by setting the
InfoANUPQlevel to 0.
Info-ing of the banner is unchanged, and
RequirePackagemust be used rather than the new command
PqSupplementInnerAutomorphismsnow returns a record analogous to the
AutomorphismGroupPGroupfunction of the AutPGrp package, and
PqSupplementInnerAutomorphismsis now used to generate the required automorphism group data in descendant calculations. The corresponding
PqExampleexample has similarly been modified.
pqprogram (thanks to Robert Morse again for the fix). Some preparatory changes made for GAP 4.4.
IsSyllableWordsFamilyas first argument of some
pqprogram (thanks to Robert Morse for identifying the problem). Updated for bugfixes in fix4 of GAP 4.3, which required some usages of
Pcgsto be replaced by
GeneralizedPcgs. Requires at least GAP 4.3fix4 and an updated AutPGrp package that uses
SetGeneralizedPcgsin lieu of
SetPcgsin its definition of