A Note on Groups of Intermediate Growth

Author: Bajorska B.   Macedonska O.  

Publisher: Taylor & Francis Ltd

ISSN: 0092-7872

Source: Communications in Algebra, Vol.35, Iss.12, 2007-12, pp. : 4112-4115

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Abstract

It was proved by Grigorchuk (1983) that there exist groups which are neither of polynomial nor of exponential growth. Their growth is called "intermediate". We show that every group of intermediate growth has either a residually finite quotient of intermediate growth or a simple section of intermediate growth.