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

Dessislava H. Kochloukova, Aline G. S. Pinto

We show that the torsion-free rank of $H_i(M,{\mathbb{Z}}_p)$ has finite upper bound for $i\le m$, where $M$ runs through the pro-$p$ subgroups of finite index in a pro-$p$ group…