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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2409.19491 |
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| _version_ | 1866912400290086912 |
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| author | Kuang, Zheng |
| author_facet | Kuang, Zheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19491 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Growth of finitely generated subgroups of the topological full groups of inverse semigroups of bounded type Kuang, Zheng Group Theory Dynamical Systems 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. |
| title | Growth of finitely generated subgroups of the topological full groups of inverse semigroups of bounded type |
| topic | Group Theory Dynamical Systems |
| url | https://arxiv.org/abs/2409.19491 |