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A problem on growth sequences of groups

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

A. Erfanian
A. Erfanian
Affiliation:
No. 31, 25th EdalatAhamd Abab Ave, Mashhad, Iran
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Abstract

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The aim of this paper is to consider Problem 1 posed by Stewart and Wiegold in [6]. The main result is that if G is a finitely generated perfect group having non-trivial finite images, then there exists a finite image B of G such that the growth sequence of B is eventuallly faster than that of every finite image of G. Moreover we investigate the growth sequences of simple groups of the same order.

MSC classification

Secondary: 20F05: Generators, relations, and presentations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 2 , October 1995 , pp. 283 - 286
Copyright
Copyright © Australian Mathematical Society 1995

References

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