Minimal sofic shift on a group that is not finitely-generated
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915379224248320 |
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| author | Salo, Ville |
| author_facet | Salo, Ville |
| contents | We prove that there exists a group which is not finitely generated, but admits a minimal sofic shift. This answers a question of Doucha, Melleray and Tsankov. The group is of the form $(F_4 \times F_2) \rtimes F_{\infty}$. The construction itself is based on simulation theory and properties of Thompson's~$V$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal sofic shift on a group that is not finitely-generated Salo, Ville Dynamical Systems Group Theory Logic We prove that there exists a group which is not finitely generated, but admits a minimal sofic shift. This answers a question of Doucha, Melleray and Tsankov. The group is of the form $(F_4 \times F_2) \rtimes F_{\infty}$. The construction itself is based on simulation theory and properties of Thompson's~$V$. |
| title | Minimal sofic shift on a group that is not finitely-generated |
| topic | Dynamical Systems Group Theory Logic |
| url | https://arxiv.org/abs/2507.06599 |