On the Burde--de Rham theorem for finitely presented pro-$p$ groups
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913605317820416 |
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| author | Mizusawa, Yasushi Tange, Ryoto Terashima, Yuji |
| author_facet | Mizusawa, Yasushi Tange, Ryoto Terashima, Yuji |
| contents | We consider the Burde--de Rham theorem for finitely presented pro-$p$ groups under the assumption that the total degrees of all relators are $0$. We also give some concrete examples including higher-dimensional cases under Iwasawa theoretic conditions, and consider some cohomological interpretations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01270 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Burde--de Rham theorem for finitely presented pro-$p$ groups Mizusawa, Yasushi Tange, Ryoto Terashima, Yuji Geometric Topology Number Theory We consider the Burde--de Rham theorem for finitely presented pro-$p$ groups under the assumption that the total degrees of all relators are $0$. We also give some concrete examples including higher-dimensional cases under Iwasawa theoretic conditions, and consider some cohomological interpretations. |
| title | On the Burde--de Rham theorem for finitely presented pro-$p$ groups |
| topic | Geometric Topology Number Theory |
| url | https://arxiv.org/abs/2408.01270 |