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arXiv · 1604.03857

The torsion-free rank of homology in towers of soluble pro-p groups

Martin R Bridson·Dessislava H. Kochloukova
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Abstract

We show that for every finitely presented pro-$p$ nilpotent-by-abelian-by-finite group $G$ there is an upper bound on $\dim_{\mathbb{Q}_p} (H_1(M, \mathbb{Z}_p) \otimes_{\mathbb{Z}_p} \mathbb{Q}_p )$, as $M$ runs through all pro-$p$ subgroups of finite index in $G$.

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Martin R Bridson, Dessislava H. Kochloukova. 2016-04-13. The torsion-free rank of homology in towers of soluble pro-p groups. https://arxiv.org/abs/1604.03857

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