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Unger's algorithm to compute charater tables of finite groups in GAP

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The GAP 4 package `InduceReduce'

Copyright (C) 2018  Jonathan Gruber <jgruber@rhrk.uni-kl.de>

This package is maintained by Jonathan Gruber <jgruber@rhrk.uni-kl.de>

Distributed under the terms of the GNU General Public License (GPL) v3

The GAP package "InduceReduce" is free software: you can redistribute
it and/or modify it under the terms of the GNU General Public License
as published by the Free Software Foundation, either version 3 of the
License, or (at your option) any later version.

InduceReduce is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with InduceReduce. If not, see <https://www.gnu.org/licenses/>.

The package "InduceReduce" provides an implementation of Unger's algorithm for computing the table of ordinary irreducile characters of a finite group. The algorithm works by inducing characters from suitably chosen elementary subgroups and finding an orthogonal basis of the resulting lattice of characters by LLL lattice reduction.

Installing and Loading the package:

InduceReduce does not use external binaries and, therefore, works without restrictions on the type of the operating system.

There are two ways of installing a GAP package. If you have permission to add files to the installation of GAP on your system you may install InduceReduce into the 'pkg' subdirectory of the GAP installation tree. Otherwise you may install InduceReduce in a private 'pkg' directory (for details see '76.1 Installing a GAP Package' and '9.2 GAP Root Directories' in the reference manual).

Once you have installed the package, you can load it in a GAP session using the following command:

gap> LoadPackage("InduceReduce");

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