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The Character Table of a Maximal Subgroup of the Monster

Published online by Cambridge University Press:  01 February 2010

R. W. Barraclough  and
R. A. Wilson
R. W. Barraclough
Affiliation:
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London El 4NS, United Kingdom, R.W.Barraclough@qmul.ac.uk, http://www.maths.qmul.ac.uk/~rwb
R. A. Wilson
Affiliation:
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London El 4NS, United Kingdom, R.A.Wilson@qmul.ac.uk

Abstract

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We calculate the character table of the maximal subgroup of the Monster N(3B) isomorphic to a group of shape 3+1+12 · 2 · Suz: 2, and also of the group 31+12 : 6 · Suz · 2, which has the former as a quotient. The strategy is to induce characters from the inertia groups in 31+12 : 6 · Suz : 2 of characters of 31+12. We obtain the quotient map to N(3B) computationally, and our careful concrete approach allows us to produce class fusions between our tables and various tables in the GAP library.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 10 , 2007 , pp. 161 - 175
Copyright
Copyright © London Mathematical Society 2007

References

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Supplementary material: File

JCM 10 Barraclough and Wilson Appendix A readme

Barraclough and Wilson Appendix A readme.txt

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Supplementary material: File

JCM 10 Barraclough and Wilson Appendix A

Barraclough and Wilson Appendix A

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