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arXiv · 1202.6044

On the Gap Conjecture concerning group growth

Rostislav Grigorchuk
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Abstract

We discuss some new results concerning Gap Conjecture on group growth and present a reduction of it (and its *-version) to several special classes of groups. Namely we show that its validity for the classes of simple groups and residually finite groups will imply the Gap Conjecture in full generality. A similar type reduction holds if the Conjecture is valid for residually polycyclic groups and just-infinite groups. The cases of residually solvable groups and right orderable groups are considered as well.

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Rostislav Grigorchuk. 2012-02-27. On the Gap Conjecture concerning group growth. https://arxiv.org/abs/1202.6044

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