SUBGROUPS AND HOMOLOGY OF FREE PRODUCTS OF PROFINITE GROUPS

DOI10.1070/IM1990v034n01ABEH000607zbMath0684.20019OpenAlexW2085744008MaRDI QIDQ4734010

O. V. Mel'nikov

Publication date: 1990

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1990v034n01abeh000607

zbMATH Keywords

varietiesclosed subgroupsKurosh subgroup theoremfree products of profinite groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Homological methods in group theory (20J05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Quasivarieties and varieties of groups (20E10) Limits, profinite groups (20E18)

Related Items (18)

Virtually free pro-\(p\) products. ⋮ On cohomology isomorphisms of groups. ⋮ A virtually free pro-\(p\) need not be the fundamental group of a profinite graph of finite groups. ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ On pro-\(p\) analogues of limit groups via extensions of centralizers. ⋮ Double Coset Formulas for Profinite Groups ⋮ Subdirect products of pro-p groups ⋮ The absolute Galois group of subfields of the field of totally \(S\)-adic numbers ⋮ Second countable virtually free pro-\(p\) groups whose torsion elements have finite centralizer ⋮ ON FREE PRODUCTS OF ABSOLUTE GALOIS GROUPS. II ⋮ Profinite HNN-constructions ⋮ Pro-p groups that act on profinite trees ⋮ Fully residually free pro-\(p\) groups. ⋮ Splitting theorems for pro-\(p\) groups acting on pro-\(p\) trees ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups ⋮ The Absolute Galois Group of the Field of Totally S-Adic Numbers ⋮ Subgroups and homology of extensions of centralizers of pro-pgroups ⋮ Local-global principles for Witt rings

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