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A problem on growth sequences of groups
Published online by Cambridge University Press: 09 April 2009
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 eventuallly faster than that of every finite image of G. Moreover we investigate the growth sequences of simple groups of the same order.
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- Copyright © Australian Mathematical Society 1995
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