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RCWA

Residue-Class-Wise Affine Groups

Version 3.0.4

June 4, 2011

Stefan Kohl
Email: stefan@mcs.st-and.ac.uk
Homepage: http://www.gap-system.org/DevelopersPages/StefanKohl/
Address:
Department of Mathematics
University of Vlora
Lagjja: Pavaresia
Vlore / Albania

Abstract

RCWA is a package for GAP 4. It provides implementations of algorithms and methods for computing in certain infinite permutation groups acting on the set of integers. In principle, this package can deal at least with the following types of groups and their subgroups:

With substancial help of this package, the author has found the results published in [Koh10].

Copyright

© 2003 - 2011 by Stefan Kohl.

RCWA 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 2 of the License, or (at your option) any later version.

RCWA 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.

For a copy of the GNU General Public License, see the file GPL in the etc directory of the GAP distribution or see http://www.gnu.org/licenses/gpl.html.

Acknowledgements

I thank Bettina Eick for communicating this package and for her kind help in improving its documentation. Further I thank the two anonymous referees for their constructive criticism and their helpful suggestions. Also, I am grateful to Laurent Bartholdi for his hint on how to construct wreath products of residue-class-wise affine groups with (ℤ,+).

Contents

1 About the RCWA Package
2 Residue-Class-Wise Affine Mappings
3 Residue-Class-Wise Affine Groups
4 Residue-Class-Wise Affine Monoids
5 Residue-Class-Wise Affine Mappings, Groups and Monoids over ℤ^2
6 Examples
7 The Algorithms Implemented in RCWA
8 Installation and auxiliary functions
 8.5 Building the manual
 8.6 Loading and saving bitmap pictures
 8.7 Running demonstrations
 8.8 Converting GAP logfiles to HTML
 8.9 Some general utility functions

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