On the rigidity of rank gradient in a group of intermediate growth

Rostislav Grigorchuk; Rostyslav Kravchenko

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arXiv · 1802.08387

On the rigidity of rank gradient in a group of intermediate growth

Rostislav Grigorchuk·Rostyslav Kravchenko

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Abstract

We introduce and investigate the rigidity property of rank gradient in the case of the group $\mathcal G$ of intermediate growth constructed by the first author. We show that $\mathcal G$ is normally $(f,g)$-RG rigid where $f(n)=\log(n)$ and $g(n) =\log(\log(n)).$

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Rostislav Grigorchuk, Rostyslav Kravchenko. 2018-02-23. On the rigidity of rank gradient in a group of intermediate growth. https://arxiv.org/abs/1802.08387

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