Extending finite group actions from surfaces to handlebodies

DOI10.1090/S0002-9939-96-03515-0zbMath0868.57018MaRDI QIDQ4714703

Marco Reni, Bruno P. Zimmermann

Publication date: 7 November 1996

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

zbMATH Keywords

surfaceactionhandlebodyfinite dihedral group

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Group actions on manifolds and cell complexes in low dimensions (57M60) Riemann surfaces (30F99)

Related Items (6)

Bounding and nonbounding finite group actions on surfaces ⋮ Every finite group action on a compact 3-manifold preserves infinitely many hyperbolic spatial graphs ⋮ Extending finite group actions on surfaces over \(S^3\) ⋮ Structure of Whittaker groups and applications to conformal involutions on handlebodies ⋮ Extending free actions of finite groups on surfaces ⋮ Free actions on surfaces that do not extend to arbitrary actions on 3-manifolds

Cites Work

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• Surfaces and the second homology of a group
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Remarks on the cobordism group of surface diffeomorphisms
• Group Actions on Handlebodies
• Extending finite group actions on surfaces to hyperbolic 3-manifolds
• The genus of PSl2 (q).
• Handlebody Orbifolds and Schottky Uniformizations of Hyperbolic 2-Orbifolds

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