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arXiv · 2007.06789

On the topological full group containing the Grigorchuk group

Yaroslav Vorobets
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Abstract

We consider the topological full group of a substitution subshift induced by a substitution $a\to aca$, $b\to d$, $c\to b$, $d\to c$. This group is interesting since the Grigorchuk group naturally embeds into it. We show that the topological full group is finitely generated and give a simple generating set for it.

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Yaroslav Vorobets. 2020-07-14. On the topological full group containing the Grigorchuk group. https://arxiv.org/abs/2007.06789

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