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Growth sequences of finite groups IV

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

James Wiegold
James Wiegold
Affiliation:
University College Cardiff Wales
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Abstract

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The main result is that d(Ssm) = n+2 for every finite non-abelian two-generator simple group S of order s and every integer n > 0. This is applied to give a very close estimate on d(Gn) for any finite group G whose simple images are two-generator. The article is based on the author's previous papers with similar titles.

MSC classification

Secondary: 20D60: Arithmetic and combinatorial problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 1 , February 1980 , pp. 14 - 16
Copyright
Copyright © Australian Mathematical Society 1980

References

Gaschütz, W. (1955), ‘Zu einem von B. H. und H. Neumann gesteliten Problem’, Math. Nachr. 14, 249–252.CrossRefGoogle Scholar
Hall, P. (1936), ‘The Eulerian functions of a group’, Quart. J. Math. Oxford 7, 134–151.CrossRefGoogle Scholar
Wiegoid, J. (1974), ‘Growth sequences of finite groups’, J. Austral. Math. Soc. 17, 133–141.CrossRefGoogle Scholar
Wiegold, J. (1975), ‘Growth sequences of finite groups 11’, J. Austral. Math. Soc. Ser. A 20, 225–229.CrossRefGoogle Scholar
Wiegold, J. (1978), ‘Growth sequences of finite groups III’, J. Austral. Math. Soc. Ser. A 25, 142–144.CrossRefGoogle Scholar