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

2025/10/01 by Dessislava H. Kochloukova, Kochloukova, Dessislava H., Aline G. S. Pinto +1
Mathematics · Social Sciences · Engineering · #Meromorphic and Entire Functions #Global Educational Reforms and Inequalities #Catalysis for Biomass Conversion

paper · pdf · doi:10.48550/arxiv.2510.00421

Abstract

We show that the torsion-free rank of H_i(M, ℤ_p) has finite upper bound for i ≤ 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.

Citations

• The torsion-free rank of homology in towers of soluble pro-p groups
• Subgroups and Homology of Extensions of Centralizers of Pro-p Groups

Related

• The torsion-free rank of homology in towers of soluble pro-p groups
• Torsion growth in finitely presented pro-p groups
• Large groups, Property (tau) and the homology growth of subgroups
• On Profinite Groups of Type FP_∞
• On homology torsion growth