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A systematic approach to symmetric presentations. I. Involutory generators

Published online by Cambridge University Press:  24 October 2008

R. T. Curtis ,
A. M. A. Hammas  and
J. N. Bray
R. T. Curtis
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT
A. M. A. Hammas
Affiliation:
Department of Mathematics, University of Medina, Saudi Arabia
J. N. Bray
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT
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Abstract

In this paper we conduct a systematic, computerized search for groups generated by small, but highly symmetric, sets of involutions. Many classical groups are readily obtained in this way, as are a number of sporadic simple groups. The techniques of symmetric generation developed elsewhere are described afresh, and the results are presented in a convenient tabular form.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 1 , January 1996 , pp. 23 - 34
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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