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arXiv · 2510.00421

Homological growth of nilpotent-by-abelian pro-p groups

Dessislava H. Kochloukova·Aline G. S. Pinto
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Abstract

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 $FP_{2cm}$.

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Dessislava H. Kochloukova, Aline G. S. Pinto. 2025-10-01. Homological growth of nilpotent-by-abelian pro-p groups. https://arxiv.org/abs/2510.00421

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