The ANUPQ package
The ANUPQ package is a GAP4 interface with the ANU pq C program written
by Eamonn O'Brien. The ANU pq C program provides access to
implementations of the following algorithms:
1. A p-quotient algorithm to compute a power-commutator presentation for
a group of prime power order. The algorithm implemented here is based on
that described in Newman and O'Brien (1996), Havas and Newman (1980), and
papers referred to there. Another description of the algorithm appears in
Vaughan-Lee (1990). A FORTRAN implementation of this algorithm was
programmed by Alford and Havas. The basic data structures of that
implementation are retained.
2. A p-group generation algorithm to generate descriptions of groups of
prime power order. The algorithm implemented here is based on the
algorithms described in Newman (1977) and O'Brien (1990). A FORTRAN
implementation of this algorithm was earlier developed by Newman and
3. A standard presentation algorithm used to compute a canonical
power-commutator presentation of a p-group. The algorithm implemented
here is described in O'Brien (1994).
4. An algorithm which can be used to compute the automorphism group of a
p-group. The algorithm implemented here is described in O'Brien (1994).
The following section describes the installation of the ANUPQ package. A
description of the functions available in the ANUPQ package is given in
the package manual in the doc directory. For details about the
implementation and the standalone version see the README and guide.dvi in
the standalone-doc directory.
Obtaining the ANUPQ package
Note that, owing to its C code component, the ANUPQ package can be
installed under UNIX or in environments similar to UNIX. In particular
it is known to work on Linux and Mac OS X, and also on Windows equipped
You can download `anupq-XXX.tar.gz' (where `XXX' is the package version
number) from the home page for the ANUPQ package
or via the GAP web site
Installing the ANUPQ package
To install the ANUPQ package, move the file `anupq-.tar.gz' into the
`pkg' directory in which you plan to install ANUPQ. Usually, this will be
the directory `pkg' in the hierarchy of your version of GAP 4. (However,
it is also possible to keep an additional `pkg' directory in your private
directories, see section "ref:Installing GAP Packages" of the GAP 4
reference manual for details on how to do this.)
ANUPQ package requires at least GAP 4.8 and AutPGrp 1.5, although we
recommend using the most recent versions of each. ANUPQ optionally
supports using GMP for large integer support.
Unpack the archive `anupq-.tar.gz' in the `pkg' directory.
Change directory to the newly created `anupq' directory. Now you need to
call `configure'. If you installed ANUPQ into the main `pkg' directory,
simply do this:
If you installed ANUPQ in another directory than the usual 'pkg'
where 'path' is a path to the GAP home directory. See
for further options.
Afterwards, you can simply call
to compile the binary and to install it in the appropriate place.
The path of GAP (see *Note* below) used by the `pq' binary (the value
`GAP' is set to in the `make' command) may be over-ridden by setting the
environment variable `ANUPQ_GAP_EXEC'. These values are only of interest
when the `pq' program is run as a standalone; however, the `testPq'
script assumes you have set one of these correctly (see Section "Testing
your ANUPQ installation"). When the `pq' program is started from GAP
communication occurs via an iostream, so that the `pq' binary does not
actually need to know a valid path for GAP is this case.
*Note.* By ``path of GAP'' we mean the path of the command used to invoke
GAP (which should be a script, e.g. the `gap.sh' script generated in the
`bin' directory for the version of GAP when GAP was compiled). The usual
strategy is to copy the `gap.sh' script to a standard location, e.g.
`/usr/local/bin/gap'. It is a mistake to copy the GAP executable `gap'
(in a directory with name of form `bin/') to the
standard location, since direct invocation of the executable results in
GAP starting without being able to find its own library (a fatal error).
The ANUPQ package documentation
The ANUPQ package documentation source files, now XML (for GAPDoc), are
found in the `doc' directory. There you should also find `manual.pdf', a
PDF version of the manual, and various HTML files constituting the HTML
version of the manual (actually there are two HTML versions of the manual,
the one with `_mj' files have MathJax enabled). The initial page for
the HTML version of the manual is `chap0.html' (or `chap0_mj.html' with
MathJax enabled), but you can toggle between the versions, once you have
opened either, with your favourite browser.
Testing the ANUPQ package installation
Now it is time to test the installation. After doing `configure' and
`make' you will have a `testPq' script. The script assumes that, if the
environment variable `ANUPQ_GAP_EXEC' is set, it is a correct path for
GAP, or otherwise that the `make' call that compiled the `pq' program set
`GAP' to a correct path for GAP (see Section "Running the pq program as a
standalone" in the ANUPQ package manual for more details). To run the
tests, just type:
Some of the tests the script runs take a while. Please be patient.
The output you see should be something like the following:
Made dir: /tmp/testPq
Testing installation of ANUPQ Package (version 3.2.1)
The first two tests check that the pq C program compiled ok.
Testing the pq binary ... OK.
Testing the pq binary's stack size ... OK.
The pq C program compiled ok! We test it's the right one below.
The next tests check that you have the right version of GAP
for version 3.1 of the ANUPQ package and that GAP is finding
the right versions of the ANUPQ and AutPGrp packages.
Checking GAP ...
pq binary made with GAP set to: /usr/local/bin/gap
Starting GAP to determine version and package availability ...
GAP version (4.10.1) ... OK.
GAP found ANUPQ package (version 3.2.1) ... good.
GAP found pq binary (version 1.9) ... good.
GAP found AutPGrp package (version 1.5) ... good.
GAP is OK.
Checking the link between the pq binary and GAP ... OK.
Testing the standard presentation part of the pq binary ... OK.
Doing p-group generation (final GAP/ANUPQ) test ... OK.
Removed dir: /tmp/testPq
Enjoy using your functional ANUPQ package!
For bug reports, feature requests and suggestions, please refer to
When sending a bug report, remember we will need to be able to reproduce
the problem; so please include:
* The version of GAP you are using; either look at the header when
you start up GAP, or at the gap> prompt type: GAPInfo.Version;
* The operating system you are using e.g. Linux, Mac OS X, Windows,
* The compiler you used to compile `pq' and the options you used.
Type: gcc -v or: cc -version, and look in Makefile for the
value of CC to find out.
* A script, either in GAP or standalone `pq', that demonstrates the
bug, along with a description of why it's a bug (e.g. by adding
comments to the script - recall, comments, both in GAP or
standalone `pq', begin with a #).