Property $R_\infty$ for new classes of Artin groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915782026330112 |
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| author | Soroko, Ignat Vaskou, Nicolas |
| author_facet | Soroko, Ignat Vaskou, Nicolas |
| contents | We establish property $R_\infty$ for Artin groups of spherical type $D_n$, $n\ge6$, their central quotients, and also for large hyperbolic-type free-of-infinity Artin groups and some other classes of large-type Artin groups. The key ingredients are recent descriptions of the automorphism groups for these Artin groups and their action on suitable Gromov-hyperbolic spaces. We also provide a detailed proof of Delzant's Lemma, an important technical tool used in our work and in several other papers on the $R_\infty$ property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Property $R_\infty$ for new classes of Artin groups Soroko, Ignat Vaskou, Nicolas Group Theory 20F36 (Primary), 57K20, 20F65, 20E36, 20E45, 57M07 (Secondary) We establish property $R_\infty$ for Artin groups of spherical type $D_n$, $n\ge6$, their central quotients, and also for large hyperbolic-type free-of-infinity Artin groups and some other classes of large-type Artin groups. The key ingredients are recent descriptions of the automorphism groups for these Artin groups and their action on suitable Gromov-hyperbolic spaces. We also provide a detailed proof of Delzant's Lemma, an important technical tool used in our work and in several other papers on the $R_\infty$ property. |
| title | Property $R_\infty$ for new classes of Artin groups |
| topic | Group Theory 20F36 (Primary), 57K20, 20F65, 20E36, 20E45, 57M07 (Secondary) |
| url | https://arxiv.org/abs/2409.18123 |