On the topological full group containing the Grigorchuk group

2020/07/14 by Vorobets, Yaroslav
#20F05 #37B05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2007.06789

Abstract

We consider the topological full group of a substitution subshift induced by a substitution a→ aca, b→ d, c→ b, d→ 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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