Centers of Artin groups defined on cones
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915171885121536 |
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| author | Jankiewicz, Kasia Montee, MurphyKate |
| author_facet | Jankiewicz, Kasia Montee, MurphyKate |
| contents | We prove that the Center Conjecture passes to the Artin groups whose defining graphs are cones, if the conjecture holds for the Artin group defined on the set of the cone points. In particular, it holds for every Artin group whose defining graph has exactly one cone point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06480 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Centers of Artin groups defined on cones Jankiewicz, Kasia Montee, MurphyKate Group Theory 20F65, 20F36 We prove that the Center Conjecture passes to the Artin groups whose defining graphs are cones, if the conjecture holds for the Artin group defined on the set of the cone points. In particular, it holds for every Artin group whose defining graph has exactly one cone point. |
| title | Centers of Artin groups defined on cones |
| topic | Group Theory 20F65, 20F36 |
| url | https://arxiv.org/abs/2406.06480 |