The second integral homology of even Artin groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918085910331392 |
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| author | Akita, Toshiyuki |
| author_facet | Akita, Toshiyuki |
| contents | In this paper, we compute the second integral homology of even Artin groups using Hopf's formula. We then apply our results to the computation of cup products and Pontryagin products on even Artin groups, as well as to the second integral homology of even Coxeter groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The second integral homology of even Artin groups Akita, Toshiyuki Group Theory Algebraic Topology Primary 20F36, 20F55, 20J06, Secondary 55N45 In this paper, we compute the second integral homology of even Artin groups using Hopf's formula. We then apply our results to the computation of cup products and Pontryagin products on even Artin groups, as well as to the second integral homology of even Coxeter groups. |
| title | The second integral homology of even Artin groups |
| topic | Group Theory Algebraic Topology Primary 20F36, 20F55, 20J06, Secondary 55N45 |
| url | https://arxiv.org/abs/2507.04577 |