GAP 4 package Polycyclic
Authors:
Bettina Eick,
Werner Nickel
Needs: GAP,
version 4.3 or more recent, GAP package Alnuth, version 1.0
Operating systems: UNIX
Current version: 2.6
Status:
Contact:
Bettina Eick,
Werner Nickel
Download:
Several formats available
Description
This package provides algorithms for working with polycyclic groups.
The features of this package include
- creating a polycyclic group from a polycyclic presentation
- arithmetic in a polycyclic group
- computation with subgroups and factor groups of a polycyclic group
- computation of standard subgroup series such as the derived
series, the lower central series
- computation of the first and second cohomology
- computation of group extensions
- computation of normalizers and centralizers
- solutions to the conjugacy problems for elements and subgroups
- computation of Torsion and various finite subgroups
- computation of various subgroups of finite index
- computation of the Schur multiplicator, non-abelian the exterior square and the non-abelian tensor square
(Bug) reports
If you use Polycyclic, we would like to know.
A short email to one of us would be nice.
Any comments about the package are very welcome. If you have found
important features missing or if there is a bug, let us know and we
will try to address it as soon as possible.
Installation
You need to install both Polycyclic and
Alnuth. The latter contains
methods for algebraic number theory and an interface to the number
theory system Kant.
The README file describes the installation
of the polycyclic package.
For the installation of Alnuth, follow the instructions in the
Alnuth manual.
Online Documentation
The manuals of Polycyclic and
Alnuth are available in
PostScript, PDF and HTML:
If the packages have been installed properly, these documents
are also accessible through the GAP online
help.
Download