Acylindrical Visual Splittings and The Tits Alternative For Artin Groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914019396288512 |
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| author | Cohen, William D. |
| author_facet | Cohen, William D. |
| contents | We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conditions of two well known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Acylindrical Visual Splittings and The Tits Alternative For Artin Groups Cohen, William D. Group Theory 20F36 (Primary), 20F67 (Primary), 20E08 (Secondary) We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conditions of two well known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative. |
| title | Acylindrical Visual Splittings and The Tits Alternative For Artin Groups |
| topic | Group Theory 20F36 (Primary), 20F67 (Primary), 20E08 (Secondary) |
| url | https://arxiv.org/abs/2509.03305 |