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

Martin R Bridson, Dessislava H. Kochloukova

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}…