Homological growth of nilpotent-by-abelian pro-p groups
Abstract
In this paper, we show that the torsion-free rank of [Formula: see text] has finite upper bound for [Formula: see text], where [Formula: see text] runs through the pro-[Formula: see text] subgroups of finite index in a pro-[Formula: see text] group [Formula: see text] that is (nilpotent of class [Formula: see text])-by-abelian such that [Formula: see text] is of type [Formula: see text].
Fields of Study & Subjects
Meromorphic and Entire Functions
Global Educational Reforms and Inequalities
Catalysis for Biomass Conversion
Publication details
- Journal / source
- International Journal of Algebra and Computation
- Publisher
- World Scientific Pub Co Pte Ltd
- Pages
- 1–13
- Publication date
- 7 August 2026
- Language
- EN