Homological growth of nilpotent-by-abelian pro-p groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914069717450752 |
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| author | Kochloukova, Dessislava H. Pinto, Aline G. S. |
| author_facet | Kochloukova, Dessislava H. Pinto, Aline G. S. |
| contents | We show that the torsion-free rank of $H_i(M, \mathbb{Z}_p)$ has finite upper bound for $i \leq m$, where $M$ runs through the pro-$p$ subgroups of finite index in a pro-$p$ group $G$ that is (nilpotent of class $c$)-by-abelian such that $ G/N'$ is of type $FP_{2cm}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homological growth of nilpotent-by-abelian pro-p groups Kochloukova, Dessislava H. Pinto, Aline G. S. Group Theory We show that the torsion-free rank of $H_i(M, \mathbb{Z}_p)$ has finite upper bound for $i \leq m$, where $M$ runs through the pro-$p$ subgroups of finite index in a pro-$p$ group $G$ that is (nilpotent of class $c$)-by-abelian such that $ G/N'$ is of type $FP_{2cm}$. |
| title | Homological growth of nilpotent-by-abelian pro-p groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2510.00421 |