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Involutions in Janko’s simple group J4

Part of: Representation theory of groups

Published online by Cambridge University Press:  01 November 2011

Peter Rowley  and
Paul Taylor
Peter Rowley
Affiliation:
School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom (email: peter.j.rowley@manchester.ac.uk)
Paul Taylor
Affiliation:
School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom (email: p.taylor@maths.manchester.ac.uk)

Abstract

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In this paper we determine the suborbits of Janko’s largest simple group in its conjugation action on each of its two conjugacy classes of involutions. We also provide matrix representatives of these suborbits in an accompanying computer file. These representatives are used to investigate a commuting involution graph for J4.

Supplementary materials are available with this article.

MSC classification

Secondary: 20D08: Simple groups
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 14 , 2011 , pp. 238 - 253
Copyright
Copyright © London Mathematical Society 2011

References

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Supplementary material: File

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