Kleinian groups acting on \(S^3\) which are extensions

DOI10.1007/BF01234533zbMath0919.57003OpenAlexW2490939152MaRDI QIDQ1281897

Leonid Potyagailo

Publication date: 27 April 1999

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234533

zbMATH Keywords

fundamental grouphyperbolic 3-manifoldKleinian group

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Group actions on manifolds and cell complexes in low dimensions (57M60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

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• Non-zero degree maps and surface bundles over \(S^ 1\)
• On the absence of Ahlfors' finiteness theorem for Kleinian groups in dimension three
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• FINITENESS OF $ E(\mathbf{Q})$ AND $ \textrm{Ø}(E,\mathbf{Q})$ FOR A SUBCLASS OF WEIL CURVES
• 3-Manifolds Fibering Over S 1
• A 4-Dimensional Kleinian Group
• Finitely Generated Kleinian Groups in 3-Space and 3-Manifolds of Infinite Homotopy Type
• Some Applications of Waldhausen's Results on Irreducible Surfaces