A PROBLEM ON GROWTH SEQUENCES OF GROUPS

Authors
ERFANIAN A
Citation
A. Erfanian, A PROBLEM ON GROWTH SEQUENCES OF GROUPS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 59, 1995, pp. 283-286
Citations number
11
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
59
Year of publication
1995
Part
2
Pages
283 - 286
Database
ISI
SICI code
0263-6115(1995)59:<283:APOGSO>2.0.ZU;2-P
Abstract
The aim of this paper is to consider Problem 1 posed by Stewart and Wi egold in [6]. The main result is that if G is a finitely generated per fect group having non-trivial finite images, then there exists a finit e image B of G such that the growth sequence of B is eventually faster than that of every finite image of G. Moreover we investigate the gro wth sequences of simple groups of the same order.