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

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Grigorchuk, Rostislav; Kravchenko, Rostyslav;
  • Subject: Mathematics - Group Theory | Mathematics - Dynamical Systems

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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