J Austral Math Soc Ser A 59 pp283--286, 1995.

A Problem on Growth Sequences of Groups

A. Erfanian

(Received 6 October 1993; revised 16 November 1993)

Abstract

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 eventually faster than that of every finite of G. Moreover we investigate the growth sequences of simple groups of the same order.

1991 AMS Subject Classification: 20F05

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Authors

A. Erfanain
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