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A Survey on Some Methods of Generating Finite Simple Groups

Published online by Cambridge University Press:  15 April 2019

By
Ayoub B. M. Basheer  and
Jamshid Moori
Edited by
C. M. Campbell ,
C. W. Parker ,
M. R. Quick ,
E. F. Robertson  and
C. M. Roney-Dougal
C. M. Campbell
Affiliation:
University of St Andrews, Scotland
C. W. Parker
Affiliation:
University of Birmingham
M. R. Quick
Affiliation:
University of St Andrews, Scotland
E. F. Robertson
Affiliation:
University of St Andrews, Scotland
C. M. Roney-Dougal
Affiliation:
University of St Andrews, Scotland
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Summary

A finite group can be generated in many different ways. In this paper we consider a few methods of generating finite simple groups and in particular we focus on those of interest to the authors especially the second author and his research group. These methods are concerned with ranks of conjugacy classes of elements, (p, q, r)-, nX-complementary generation and exact spread of finite non-abelian simple groups. We also give some examples of results that were established by the authors on generation of some finite non-abelian simple groups.

Type
Chapter
Information
Groups St Andrews 2017 in Birmingham , pp. 106 - 118
Publisher: Cambridge University Press
Print publication year: 2019

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