A combination theorem for the twist conjecture for Artin groups
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914556048048128 |
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| author | Jones, Oli Mangioni, Giorgio Sartori, Giovanni |
| author_facet | Jones, Oli Mangioni, Giorgio Sartori, Giovanni |
| contents | We reduce a strong version of the twist conjecture for Artin groups to Artin groups whose defining graphs have no separating vertices. This produces new examples of Artin groups satisfying the conjecture, and sheds more light on the isomorphism problem for Artin groups. Along the way we also prove a combination result for the ribbon property for vertices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13971 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A combination theorem for the twist conjecture for Artin groups Jones, Oli Mangioni, Giorgio Sartori, Giovanni Group Theory 20F65 (Primary) 20E08, 20F36 (Secondary) We reduce a strong version of the twist conjecture for Artin groups to Artin groups whose defining graphs have no separating vertices. This produces new examples of Artin groups satisfying the conjecture, and sheds more light on the isomorphism problem for Artin groups. Along the way we also prove a combination result for the ribbon property for vertices. |
| title | A combination theorem for the twist conjecture for Artin groups |
| topic | Group Theory 20F65 (Primary) 20E08, 20F36 (Secondary) |
| url | https://arxiv.org/abs/2507.13971 |