Groups of intermediate growth

Details Groups of intermediate growth Groups of intermediate growth

2002-01-30

arxiv.org/abs/math/0201293v2

Mathematics

Group Theory

9 pages

Scientific paper

I describe a class of groups acting on rooted trees that all have intermediate word growth between polynomial and exponential. The argument constructs a functional equation on the growth formal power series, and derives the growth properties from its analytical behaviour. This places under a unified proof all known or conjectured examples of such groups, and answers a few open questions by Rostislav Grigorchuk.

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