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

DOI10.1007/S11856-017-1499-6zbMath1429.20022arXiv1604.03857OpenAlexW2963618798MaRDI QIDQ2627996

Martin R. Bridson, Dessislava H. Kochloukova

Publication date: 9 June 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03857

zbMATH Keywords

pro-\(p\) groupsolvable groupfinite presentabilityGolod-Shafarevich inequalityhomological groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Limits, profinite groups (20E18)

Related Items (1)

Growth of Homology of Centre-by-metabelian Pro- Groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A geometric invariant of discrete groups
• Finite presentations of pro-\(p\) groups and discrete groups
• The virtual first Betti number of soluble groups
• \(p\)-adic analytic groups
• Bieri-Eckmann criteria for profinite groups
• Homological finiteness conditions for pro-pgroups
• Embedding theorems for pro-p groups
• A Geometric Invariant for Metabelian Pro-p Groups
• Profinite Groups

This page was built for publication: The torsion-free rank of homology in towers of soluble pro-\(p\) groups