Normal subgroups of profinite groups of non-negative deficiency.

DOI10.1016/j.jpaa.2013.10.003zbMath1307.20025arXiv0810.2027OpenAlexW1995467319MaRDI QIDQ392508

Aline G. S. Pinto, Andrei Jaikin-Zapirain, Fritz J. Grunewald, Pavel A. Zalesskii

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2027

zbMATH Keywords

Sylow subgroupscohomological dimensionsfinitely generated profinite groupsprofinite completionsHNN-extensionsPoincaré duality groups\(p\)-deficiency of groupsfinitely generated normal subgroups of infinite index

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Structure of modular groups and generalizations; arithmetic groups (11F06) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Limits, profinite groups (20E18) Poincaré duality spaces (57P10) Congruence subgroup problems (19B37)

Related Items (5)

The Hanna Neumann conjecture for surface groups ⋮ Homological properties of abstract and profinite modules and groups. ⋮ Recognition of being fibered for compact 3-manifolds ⋮ Subgroups of pro-\(p PD^3\)-groups ⋮ Homological approximations for profinite and pro-p limit groups

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