Large Groups of Symmetries of Handlebodies

DOI10.2307/2047442zbMath0674.57034OpenAlexW4232271135MaRDI QIDQ3828754

Andy Miller, Bruno P. Zimmermann

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047442

zbMATH Keywords

finite group actiongraph of groupshandlebodycompact surfaces

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Discontinuous groups of transformations (57S30)

Related Items (7)

Free actions on handlebodies ⋮ Extending finite group actions on surfaces over \(S^3\) ⋮ Group actions on nonclosed 2-manifolds ⋮ Finite group actions on handlebodies and equivariant Heegaard genus for 3-manifolds ⋮ A note on the Nielsen realization problem for connected sums of $S^2 \times S^1$ ⋮ On finite groups of isometries of handlebodies in arbitrary dimensions and finite extensions of Schottky groups ⋮ Orientation-reversing free actions on handlebodies

Cites Work

• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Über Homoeomorphismen \(n\)-dimensionaler Henkelkoerper und endliche Erweiterungen von Schottky-Gruppen
• Über Abbildungsklassen von Henkelkörpern
• Classification of p-groups of automorphisms of Riemann surfaces and their lower central series
• Nilpotent Automorphisms Groups of Riemann Surfaces
• Group Actions on Handlebodies
• A Bound for the Number of Automorphisms of a Compact Klein Surface with Boundary
• Bordered Klein Surfaces with Maximal Symmetry
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• A Bound for the Number of Automorphisms of a Compact Riemann Surface
• On the Number of Automorphisms of a Closed Riemann Surface

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