Fully residually free pro-\(p\) groups.

DOI10.1016/j.jalgebra.2010.04.019zbMath1225.20027OpenAlexW2089007544MaRDI QIDQ994283

Pavel A. Zalesskii, Dessislava H. Kochloukova

Publication date: 17 September 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.04.019

zbMATH Keywords

fully residually free pro-\(p\) groupsDemushkin groupsamalgamated free pro-\(p\) products

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18) Algebraic geometry over groups; equations over groups (20F70)

Related Items (7)

Profinite groups in which centralizers are abelian ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ Subdirect products of pro-p groups ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups ⋮ Profinite groups with pronilpotent centralizers ⋮ Subgroups and homology of extensions of centralizers of pro-pgroups ⋮ SUBDIRECT PRODUCTS OF FREE PRO-p AND DEMUSHKIN GROUPS

Cites Work

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• On generalised free products
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• Subgroups of direct products of limit groups.
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• On pro-p-groups with a single defining relator
• SUBGROUPS AND HOMOLOGY OF FREE PRODUCTS OF PROFINITE GROUPS
• Residually Free Groups
• On amalgamated products of profinite groups

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