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The GAP 4 package `InduceReduce'

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");

Support

For bug reports, feature requests and suggestions, please refer to

https://github.com/gap-packages/InduceReduce/issues

License

Copyright (C) 2018 Jonathan Gruber

This package is maintained by Jonathan Gruber [email protected]

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/.

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

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