Maximum orders of extendable actions on surfaces

DOI10.1007/S10114-014-4111-6zbMath1335.57030OpenAlexW2075074092MaRDI QIDQ256406

Yi Mu Zhang, Chao Wang, Shi Cheng Wang

Publication date: 9 March 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-4111-6

zbMATH Keywords

extendable actionsymmetry of 3-spheresymmetry of surface

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (7)

Unnamed Item ⋮ The maximally symmetric surfaces in the 3-torus ⋮ Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry ⋮ Graphs in the 3-sphere with maximum symmetry ⋮ Minimal surfaces in the three-dimensional sphere with high symmetry ⋮ On large orientation-reversing finite group-actions on 3-manifolds and equivariant Heegaard decompositions ⋮ Maximum orders of cyclic group actions on surfaces extending over the 3-dimensional torus

Cites Work

• Extending finite group actions on surfaces over \(S^3\)
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Nonfibering Spherical 3-Orbifolds
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