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Vole

Vole organises lengthy explorations: Backtrack search in permutation groups with graphs

0.5.3

21 December 2021

Mun See Chang
Email: msc2@st-andrews.ac.uk
Address:
School of Computer Science, University of St Andrews, St Andrews, Fife, KY16 9SX, Scotland

Christopher Jefferson
Email: caj21@st-andrews.ac.uk
Homepage: https://caj.host.cs.st-andrews.ac.uk
Address:
School of Computer Science, University of St Andrews, St Andrews, Fife, KY16 9SX, Scotland

Wilf A. Wilson
Email: gap@wilf-wilson.net
Homepage: https://wilf.me
Address:
School of Computer Science, University of St Andrews, St Andrews, Fife, KY16 9SX, Scotland

Abstract

Vole is a GAP package that implements graph backtracking, which can be used to solve many problems in finite permutation groups, such as subgroup intersections, normalisers, set stabilisers, and canonical images of groups.

Copyright

© 2021 by Christopher Jefferson, Mun See Chang, and Wilf A. Wilson.

Vole is licensed under the Mozilla Public License, version 2.0.

Acknowledgements

The authors would like to thank the Royal Society (grant codes RGF\EA\181005 and URF\R\180015) for their financial support at the time that Vole was created.

Contents

1 Introduction to Vole
2 Setting up Vole
3 Tutorial
4 Emulating traditional interfaces with Vole
5 The native Vole interface
6 Constraints
7 Refiners in Vole
8 Expert use of Vole
References
Index

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