Pro-$p$ Poincaré-Duality groups of infinite rank
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866912117216509952 |
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| author | Bar-On, Tamar |
| author_facet | Bar-On, Tamar |
| contents | We introduce the class of \textit{Generalized Poincaré-Duality groups}: i.e, pro-$p$ groups of infinite rank which satisfy a Poincaré-duality. We prove some basic properties of Generalized Poincaré-Duality groups, and show that under some conditions, a group that fits into an exact sequence of GPD groups must be a Demushkin group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13992 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Pro-$p$ Poincaré-Duality groups of infinite rank Bar-On, Tamar Group Theory We introduce the class of \textit{Generalized Poincaré-Duality groups}: i.e, pro-$p$ groups of infinite rank which satisfy a Poincaré-duality. We prove some basic properties of Generalized Poincaré-Duality groups, and show that under some conditions, a group that fits into an exact sequence of GPD groups must be a Demushkin group. |
| title | Pro-$p$ Poincaré-Duality groups of infinite rank |
| topic | Group Theory |
| url | https://arxiv.org/abs/2311.13992 |