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GAP 4 Package orb

orb --- Methods to enumerate Orbits

Version 2.0

June 2008

Jürgen Müller
Email: juergen.mueller@math.rwth-aachen.de
Homepage: http://www.math.rwth-aachen.de/~Juergen.Mueller
Address:
Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany

Max Neunhöffer
Email: neunhoef@mcs.st-and.ac.uk
Homepage: http://www-groups.mcs.st-and.ac.uk/~neunhoef
Address:
School of Mathematics and Statistics Mathematical Institute University of St Andrews North Haugh St Andrews, Fife KY16 9SS Scotland, UK

Felix Noeske
Email: felix.noeske@math.rwth-aachen.de
Homepage: http://www.math.rwth-aachen.de/~Felix.Noeske
Address:
Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany

Copyright

© 2005-2008 by Jürgen Müller, Max Neunhöffer and Felix Noeske

This program 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. This program 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 this program. If not, see http://www.gnu.org/licenses/.

Contents

1 Introduction
2 Installation of the orb-Package
3 Basic orbit enumeration
4 Hashing techniques
5 Caching techniques
6 Random elements
7 Searching in groups and orbits
8 Orbit enumeration by suborbits
9 Finding nice quotients
10 Examples

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