On the twisted conjugacy problem for large-type Artin groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915302474776576 |
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| author | Blufstein, Martín Valiunas, Motiejus |
| author_facet | Blufstein, Martín Valiunas, Motiejus |
| contents | We show that the twisted conjugacy problem is solvable for large-type Artin groups whose outer automorphism group is finite, generated by graph automorphisms and the global inversion. This includes XXXL Artin groups whose defining graph is connected, twistless, and not an even edge; and large-type Artin groups whose defining graph admits a twistless hierarchy terminating in twistless stars. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05493 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the twisted conjugacy problem for large-type Artin groups Blufstein, Martín Valiunas, Motiejus Group Theory 20F36 (primary), 20F10, 20F28 We show that the twisted conjugacy problem is solvable for large-type Artin groups whose outer automorphism group is finite, generated by graph automorphisms and the global inversion. This includes XXXL Artin groups whose defining graph is connected, twistless, and not an even edge; and large-type Artin groups whose defining graph admits a twistless hierarchy terminating in twistless stars. |
| title | On the twisted conjugacy problem for large-type Artin groups |
| topic | Group Theory 20F36 (primary), 20F10, 20F28 |
| url | https://arxiv.org/abs/2411.05493 |