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arXiv · 2409.19491

Growth of finitely generated subgroups of the topological full groups of inverse semigroups of bounded type

Zheng Kuang
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Abstract

Given an inverse semigroup $G_0$ of bounded type, we show, along with some other assumptions, that if the set of incompressible elements of $G_0$ is finite, then any finitely generated subgroup $G$ of the topological full group $\mathsf{F}(G_0)$ that is orbit equivalent to $G_0$ has subexponential growth with a bounded power in the exponent.

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Zheng Kuang. 2024-09-29. Growth of finitely generated subgroups of the topological full groups of inverse semigroups of bounded type. https://arxiv.org/abs/2409.19491

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