Dyer groups: Centres, hyperbolicity, and acylindrical hyperbolicity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912094056611840 |
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| author | Soergel, Mireille Vaskou, Nicolas |
| author_facet | Soergel, Mireille Vaskou, Nicolas |
| contents | In this article we describe the centres of all Dyer groups. We also give a complete classification of when a Dyer group $D(Γ)$ is hyperbolic or acylindricality hyperbolic, with conditions that can easily be read on the Dyer graph $Γ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22464 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dyer groups: Centres, hyperbolicity, and acylindrical hyperbolicity Soergel, Mireille Vaskou, Nicolas Group Theory 20F55, 20F67 In this article we describe the centres of all Dyer groups. We also give a complete classification of when a Dyer group $D(Γ)$ is hyperbolic or acylindricality hyperbolic, with conditions that can easily be read on the Dyer graph $Γ$. |
| title | Dyer groups: Centres, hyperbolicity, and acylindrical hyperbolicity |
| topic | Group Theory 20F55, 20F67 |
| url | https://arxiv.org/abs/2410.22464 |