PROFINITE GROUPS THAT ACT ON TREES AND DO NOT HAVE FREE NONABELIAN PRO-p-SUBGROUPS

DOI10.1070/SM1991V069N01ABEH001204zbMath0716.20014OpenAlexW2130216206MaRDI QIDQ3203211

Pavel A. Zalesskii

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1070/sm1991v069n01abeh001204

zbMATH Keywords

HNN-extensionsprofinite groupsprojective groupprofinite free productsprofinite treesdihedral pro-\(\pi\)-groupfree amalgamated products

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (7)

Hereditary conjugacy separability of free products with amalgamation. ⋮ Profinite extensions of centralizers and the profinite completion of limit groups ⋮ The profinite completion of accessible groups ⋮ Profinite genus of free products with finite amalgamation ⋮ Profinite rigidity of graph manifolds and JSJ decompositions of 3-manifolds ⋮ Subgroup conjugacy separability of free-by-finite groups. ⋮ Profinite detection of 3-manifold decompositions

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