Orientation reversing involutions and the first Betti number for finite coverings of 3-manifolds

DOI10.1007/BF01393377zbMath0494.57003MaRDI QIDQ1169187

John Hempel

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142904

zbMATH Keywords

orientation reversing involutionsfirst Betti number for finite coverings of 3-manifoldshyperbolic dodecahedral spaceirreducible 3- manifoldsufficiently large 3-manifold

Mathematics Subject Classification ID

Related Items (8)

Coverings of Dehn fillings of surface bundles ⋮ Surfaces in 3-manifolds: Group actions on surface bundles ⋮ Coverings of Dehn fillings of surface bundles. II ⋮ An infinite family of non-Haken hyperbolic 3-manifolds with vanishing Whitehead groups ⋮ Covers of Dehn Fillings on Once-Punctured Torus Bundles ⋮ Free quotients and the first Betti number of some hyperbolic manifolds ⋮ Infinite Coxeter groups are virtually indicarle ⋮ Whitehead groups of certain hyperbolic manifolds

Cites Work

• Unnamed Item
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• Homology of coverings
• Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I
• Varieties of group representations and splittings of 3-manifolds
• Construction of irreducible homology 3-spheres with orientation reversing involution
• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• Incompressible surfaces in 2-bridge knot complements
• Characteristic numbers of 3-manifolds
• On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds
• Homotopy equivalences of 3-manifolds with boundaries
• On irreducible 3-manifolds which are sufficiently large
• Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten
• Incompressible Surfaces in Once-Punctured Torus Bundles
• On Torsion-Free Discrete Subgroups of PSL(2, C) with Compact Orbit Space

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