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2005 Semi-presentations for the sporadic simple groups
S. J. Nickerson, R. A. Wilson
Experiment. Math. 14(3): 359-371 (2005).

Abstract

A semi-presentation for a group $G$ is a set of relations which characterises a set of generators of $G$ up to automorphism. We discuss some techniques for finding semi-presentations and illustrate them by exhibiting semi-presentations on standard generators for the $26$ sporadic simple groups and their automorphism groups. We then show how these semi-presentations were used to check the data in the World Wide Web Atlas of Group Representations.

Citation

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S. J. Nickerson. R. A. Wilson. "Semi-presentations for the sporadic simple groups." Experiment. Math. 14 (3) 359 - 371, 2005.

Information

Published: 2005
First available in Project Euclid: 3 October 2005

zbMATH: 1087.20025
MathSciNet: MR2172713

Subjects:
Primary: 20D08
Secondary: 20F05

Keywords: black box algorithms , Sporadic simple groups , standard generators

Rights: Copyright © 2005 A K Peters, Ltd.

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Vol.14 • No. 3 • 2005
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