FINITELY DOMINATED COVERING SPACES OF 3- AND 4-MANIFOLDS

DOI10.1017/S1446788708000189zbMath1162.57017MaRDI QIDQ3509975

Jonathan A. Hillman

Publication date: 25 June 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

4-manifoldssubnormal subgroupPoincaré duality groupfinitely dominated

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Poincaré duality spaces (57P10)

Cites Work

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• Finiteness conditions and \(\text{PD}_{r}\)-group covers of \(\text{PD}_{n}\)-complexes
• Ends of double extension groups
• A note on the vanishing of \(H^ n(G,{\mathbb{Z}}G)\)
• On the cohomology of soluble groups of finite rank
• Poincaré duality and groups of type (FP)
• The second cohomology group of \(G\) with \(Z_2G\) coefficients
• A remark on subgroups of infinite index in Poincaré duality groups
• The decomposition of 3-dimensional Poincaré complexes
• Centralizers and normalizers of subgroups of \(\text{PD}_3\)-groups and open \(\text{PD}_3\)-groups.
• Examples of Poincare Duality Groups
• On the Cohomological Dimension of Soluble Groups
• A Note on Free Groups

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