The LMS JCM, (8) 205-216. Published 06 Sep 2005. First received 25 Jan 2005.


Conjugacy class representatives in the Monster group

R. W. Barraclough and R. A. Wilson



Abstract: The paper describes a procedure for determining (up to algebraic conjugacy) the conjugacy class in which any element of the Monster lies, using computer constructions of representations of the Monster in characteristics 2 and 7. This procedure has been used to calculate explicit representatives for each conjugacy class.

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In addition to the paper, the following electronic appendices are available to subscribers :
Appendix A : This appendix contains a "README" file, as well as the main database programs and database referred to in Appendix A of the paper.

"Conjugacy class representatives in the Monster group" has been subsequently referenced by the following articles :

  • The character table of a maximal subgroup of the Monster (22 May 2007)
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