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A note on growth sequences of finite simple groups

Published online by Cambridge University Press:  17 April 2009

Ahmad Erfanian  and
James Wiegold
Ahmad Erfanian
Affiliation:
School of Mathematics, University of Wales, College of Cardiff, Senghennydd Road, Cardiff CF2 4YH, Wales, United Kingdom
James Wiegold
Affiliation:
School of Mathematics, University of Wales, College of Cardiff, Senghennydd Road, Cardiff CF2 4YH, Wales, United Kingdom
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Abstract

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The aim of this paper is to give a new precise formula for h(n, A), where A is a finite non-abelian simple group, h(n, A) is the maximum number such that Ah(n, A) can ke generated by n elements, and n ≥ 2. P. Hall gave a formula for h(n, A) in terms of the Möbius function of the subgroup lattice of A; the new formula involves a concept called cospread associated with that of spread as explained in Brenner and Wiegold (1975).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 3 , June 1995 , pp. 495 - 499
Copyright
Copyright © Australian Mathematical Society 1995

References

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