Involutions in Janko’s simple group J4

Author:

Rowley Peter,Taylor Paul

Abstract

AbstractIn 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.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference19 articles.

1. Involutions in Conway's Largest Simple Group

2. On Groups of Even Order

3. A Computer-Free Construction of J4

4. [19] Wilson R. , Walsh P. , Tripp J. , Suleiman I. , Rogers S. , Parker R. , Norton S. , Linton S. and Bray J. , ‘Atlas of finite group representations’, http://brauer.maths.qmul.ac.uk/Atlas/v3/.

5. [18] Taylor P. , ‘Involutions in the Fischer groups’, MIMS Eprint 2011.41, Manchester Institute for Mathematical Sciences, The University of Manchester, http://eprints.ma.man.ac.uk/1622/.

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