Hurwitz Groups and Finite Group Actions on Hyperbolic 3-Manifolds

DOI10.1112/jlms/52.1.199zbMath0836.57009OpenAlexW1972342379MaRDI QIDQ4864045

Bruno P. Zimmermann

Publication date: 29 January 1996

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

Full work available at URL: https://doi.org/10.1112/jlms/52.1.199

zbMATH Keywords

hyperbolicSeifert fiberedequivariant Heegaard splittingsHurwitz action on a closed hyperbolic surfaceisometries of hyperbolic 3- manifolds with boundaryisometry groups of closed hyperbolic 3-manifoldsnon-bounding Hurwitz actionsorder of a finite group of homeomorphisms of a 3-dimensional handlebody

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Group actions on manifolds and cell complexes in low dimensions (57M60) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (5)

Bounding and nonbounding finite group actions on surfaces ⋮ MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS ⋮ Dehn surgeries on periodic links ⋮ Finite maximal orientation reversing group actions on handlebodies and 3-manifolds ⋮ A survey on large finite group actions on graphs, surfaces and 3-manifolds

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