Compact $p$-adic analytic groups in which centralizers are abelian
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916470252896256 |
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| author | Mendonça, Luis Weigel, Thomas S. Zapata, Theo |
| author_facet | Mendonça, Luis Weigel, Thomas S. Zapata, Theo |
| contents | Using methods of associative algebras, Lie theory, group cohomology, and modular representation theory, we construct profinite $p$-adic analytic groups such that the centralizer of each of their non-trivial elements is abelian. The paper answers questions of P.~Shumyatsky, P.~Zalesskii, and T.~Zapata in the Israel J. Math., v.~230, 2019. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03880 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compact $p$-adic analytic groups in which centralizers are abelian Mendonça, Luis Weigel, Thomas S. Zapata, Theo Group Theory 20E18 (Primary), 20J05 (Secondary) Using methods of associative algebras, Lie theory, group cohomology, and modular representation theory, we construct profinite $p$-adic analytic groups such that the centralizer of each of their non-trivial elements is abelian. The paper answers questions of P.~Shumyatsky, P.~Zalesskii, and T.~Zapata in the Israel J. Math., v.~230, 2019. |
| title | Compact $p$-adic analytic groups in which centralizers are abelian |
| topic | Group Theory 20E18 (Primary), 20J05 (Secondary) |
| url | https://arxiv.org/abs/2411.03880 |