Experimental Mathematics

Semi-presentations for the sporadic simple groups

S. J. Nickerson and R. A. Wilson

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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.

Article information

Source
Experiment. Math., Volume 14, Issue 3 (2005), 359-371.

Dates
First available in Project Euclid: 3 October 2005

Permanent link to this document
https://projecteuclid.org/euclid.em/1128371760

Mathematical Reviews number (MathSciNet)
MR2172713

Zentralblatt MATH identifier
1087.20025

Subjects
Primary: 20D08: Simple groups: sporadic groups
Secondary: 20F05: Generators, relations, and presentations

Keywords
Sporadic simple groups standard generators black box algorithms

Citation

Nickerson, S. J.; Wilson, R. A. Semi-presentations for the sporadic simple groups. Experiment. Math. 14 (2005), no. 3, 359--371. https://projecteuclid.org/euclid.em/1128371760


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