Profinite completions of orientable Poincaré duality groups of dimension four and Euler characteristic zero.

DOI10.4171/GGD/64zbMath1189.20029MaRDI QIDQ838397

Dessislava H. Kochloukova

Publication date: 25 August 2009

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

zbMATH Keywords

profinite completionsPoincaré duality groups\(p\)-good groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Limits, profinite groups (20E18) Poincaré duality spaces (57P10)

Related Items (2)

Pro-\(\mathcal {C}\) completions of orientable \(\mathrm{PD}^3\)-pairs ⋮ Pro-\(p\) completions of Poincaré duality groups.

Cites Work

• Pro-\(p\) groups with a finite number of ends.
• Three-manifolds class field theory. (Homology of coverings for a nonvirtually \(b_1\)-positive manifold)
• On profinite groups with finite Abelianizations.
• The cohomology of pro-\(p\)-groups with group ring coefficients and virtual Poincaré duality.
• Profinite and pro-𝑝 completions of Poincaré duality groups of dimension 3
• Classification of Demushkin Groups
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