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orb

Methods to enumerate Orbits

4.7.6

08/03/2016

Juergen Mueller
Email: juergen.mueller@math.rwth-aachen.de
Homepage: http://www.math.rwth-aachen.de/~Juergen.Mueller
Address:
Juergen Mueller
Lehrstuhl D fuer Mathematik, RWTH Aachen
Templergraben 64
52056 Aachen
Germany

Max Neunhöffer
Email: max@9hoeffer.de
Homepage: http://www-groups.mcs.st-and.ac.uk/~neunhoef
Address:
Gustav-Freytag-Straße 40
50354 Hürth
Germany

Felix Noeske
Email: felix.noeske@math.rwth-aachen.de
Homepage: http://www.math.rwth-aachen.de/~Felix.Noeske
Address:
Felix Noeske
Lehrstuhl D fuer Mathematik, RWTH Aachen
Templergraben 64
52056 Aachen
Germany

Max Horn
Email: max.horn@math.uni-giessen.de
Homepage: http://www.quendi.de/math
Address:
AG Algebra
Mathematisches Institut
Justus-Liebig-Universität Gießen
Arndtstraße 2
35392 Gießen
Germany

Copyright

© 2005-2014 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 AVL trees
9 Orbit enumeration by suborbits
10 Finding nice quotients
11 Examples
References
Index

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