SUBDIRECT PRODUCTS OF FREE PRO-p AND DEMUSHKIN GROUPS

DOI10.1142/S0218196713500173zbMath1286.20067OpenAlexW2145017935MaRDI QIDQ2852574

Dessislava H. Kochloukova

Publication date: 9 October 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196713500173

zbMATH Keywords

subgroups of finite indexsubdirect productsDemushkin groupshomological finiteness conditionsfree pro-\(p\) groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Limits, profinite groups (20E18)

Related Items (max. 100)

Ascending chains of finitely generated subgroups ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ Subdirect products of pro-p groups ⋮ Subgroup properties of Demushkin groups ⋮ Pro‐p groups of positive rank gradient and Hausdorff dimension ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups ⋮ Subgroups and homology of extensions of centralizers of pro-pgroups

Cites Work

• On pro-\(p\) analogues of limit groups via extensions of centralizers.
• On subdirect products of free pro-\(p\) groups and Demushkin groups of infinite depth.
• Subgroups of direct products of limit groups.
• Fully residually free pro-\(p\) groups.
• Combinatorial group theory for pro-p groups
• Profinite groups of finite cohomological dimension.
• Homological finiteness conditions for pro-pgroups
• Metabelian pro-p groups of type FPm
• NORMAL SUBGROUPS OF PROFINITE GROUPS OF FINITE COHOMOLOGICAL DIMENSION
• Classification of Demushkin Groups

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