Seifert fibre spaces and Poincaré duality groups

DOI10.1007/BF01215136zbMath0554.57011MaRDI QIDQ760052

Jonathan A. Hillman

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/173631

zbMATH Keywords

fundamental group of a closed 3-manifoldnontrivial abelian normal subgroupPoincaré duality group of formal dimension threeSeifert fibre spacesSol-structure

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Poincaré duality spaces (57P10)

Related Items (9)

Three-dimensional Poincaré duality groups which are extensions ⋮ 3-manifolds supporting Anosov flows and Abelian normal subgroups ⋮ Subnormal subgroups of 3-dimensional Poincaré duality groups ⋮ On 4-manifolds homotopy equivalent to circle bundles over 3-manifolds ⋮ Homomorphisms of nonzero degree betweenPD_n-groups ⋮ On the Tits alternative for \(PD(3)\) groups ⋮ A homotopy fibration theorem in dimension four ⋮ Around 3-manifold groups ⋮ Centralizers and normalizers of subgroups of \(\text{PD}_3\)-groups and open \(\text{PD}_3\)-groups.

Cites Work

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• There are no fake Seifert fibre spaces with infinite \(\pi_1\).
• Finite groups of mapping classes of surfaces
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• Almost finitely presented soluble groups
• Relative homology and Poincaré duality for group pairs
• Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten
• On a Conjecture of C. T. C. Wall
• The Geometries of 3-Manifolds
• ON SUFFICIENTLY LARGE 3-MANIFOLDS
• The Nielsen realization problem

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