On pro-\(p\) analogues of limit groups via extensions of centralizers.

DOI10.1007/s00209-009-0611-yzbMath1216.20024arXiv1107.2331OpenAlexW2056569514MaRDI QIDQ627465

Dessislava H. Kochloukova, Pavel A. Zalesskii

Publication date: 2 March 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2331

zbMATH Keywords

free productsgroups acting on treespro-\(p\) groupsprofinite groupslimit groupsfully residually finite free groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (18)

Pro-Hall \(R\)-groups and groups discriminated by the free pro-\(p\) group. ⋮ Pro-\(p\) groups acting on trees with finitely many maximal vertex stabilizers up to conjugation ⋮ Profinite extensions of centralizers and the profinite completion of limit groups ⋮ Profinite groups in which centralizers are abelian ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ Subdirect products of pro-p groups ⋮ Subgroup properties of Demushkin groups ⋮ Subgroup properties of pro-\(p\) extensions of centralizers. ⋮ On subdirect products of free pro-\(p\) groups and Demushkin groups of infinite depth. ⋮ Pro‐p groups of positive rank gradient and Hausdorff dimension ⋮ On subgroups of orthogonal groups of isotropic quadratic forms. ⋮ 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 ⋮ Profinite groups with pronilpotent centralizers ⋮ Homological approximations for profinite and pro-p limit groups ⋮ Subgroups and homology of extensions of centralizers of pro-pgroups ⋮ SUBDIRECT PRODUCTS OF FREE PRO-p AND DEMUSHKIN GROUPS

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