Splitting theorems for certain \(PD^3\)-groups

DOI10.1007/BF01161804zbMath0546.20033OpenAlexW2913285291MaRDI QIDQ798437

Charles B. Thomas

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173439

zbMATH Keywords

fundamental groupsbundle mapsfinitely presented groupsclosed aspherical 3-manifoldsgroups of cohomological dimension 3Poincaré-complexesPoincaré-dualitysurface fibrationsweak loop theorem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Poincaré duality spaces (57P10)

Related Items

Three-dimensional Poincaré duality groups which are extensions ⋮ Splittings of Poincaré duality groups ⋮ Solvable normal subgroups of 2-knot groups ⋮ Subnormal subgroups of 3-dimensional Poincaré duality groups ⋮ On the Tits alternative for \(PD(3)\) groups ⋮ A homotopy fibration theorem in dimension four ⋮ Seifert fibre spaces and Poincaré duality groups ⋮ Around 3-manifold groups ⋮ An algebraic loop theorem and the decomposition of PD ³ -pairs

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