Groups with the same cohomology as their pro-\(p\) completions.

DOI10.1016/j.jpaa.2009.04.002zbMath1207.20050arXiv0809.3046OpenAlexW2759992658MaRDI QIDQ1035662

Karl Lorensen

Publication date: 4 November 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3046

zbMATH Keywords

cohomologyfree products with amalgamationprofinite completionsresidually finite groupsprofinite groupsright-angled Artin groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Cohomology of groups (20J06) 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)

Related Items (6)

Right‐angled Artin pro‐p$p$ groups ⋮ The strong Atiyah conjecture for right-angled Artin and Coxeter groups. ⋮ Profinite properties of RAAGs and special groups ⋮ Right-angled Artin groups and enhanced Koszul properties ⋮ $3$-Manifold Groups are Virtually Residually $p$ ⋮ Groups of \(p\)-absolute Galois type that are not absolute Galois groups

Cites Work

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• Algèbres de Lie et pro-p-groupes définis par une seule relation
• Amalgams of \(p\)-groups.
• SUBGROUPS OF PROFINITE GROUPS ACTING ON TREES
• Galois cohomology of completed link groups
• Finite group extensions and the Atiyah conjecture
• Profinite and pro-𝑝 completions of Poincaré duality groups of dimension 3
• Subgroups of HNN Groups and Groups with one Defining Relation
• On amalgamated products of profinite groups
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