Pseudo-real Riemann surfaces and chiral regular maps

DOI10.1090/S0002-9947-10-05102-0zbMath1201.30047MaRDI QIDQ3574778

Bujalance, Emilio, Marston D. E. Conder, Antonio F. Costa

Publication date: 2 July 2010

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

zbMATH Keywords

Riemann surfacesinvolutionschiral maps

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Families, moduli of curves (algebraic) (14H10) Relations of low-dimensional topology with graph theory (57M15)

Related Items (24)

Observations and answers to questions about edge-transitive maps ⋮ Groups of automorphisms of Riemann and Klein surfaces, our joint work with Marston Conder ⋮ On symmetries of Cayley graphs and the graphs underlying regular maps ⋮ On asymmetric p-hyperelliptic Riemann surfaces ⋮ Automorphism groups of pseudoreal Riemann surfaces ⋮ Minimal genus problem for pseudo-real Riemann surfaces ⋮ Full automorphism groups of large order of compact bordered Klein surfaces ⋮ Abelian actions on pseudo-real Riemann surfaces ⋮ Regular maps with an alternating or symmetric group as automorphism group ⋮ The pseudo-real genus of a group ⋮ On (q,n)-gonal pseudo-real Riemann surfaces ⋮ Orientable and non-orientable regular maps with given exponent group ⋮ On the connectedness of the set of Riemann surfaces with real moduli ⋮ Automorphism groups of pseudo-real Riemann surfaces of low genus ⋮ Polytopes of high rank for the alternating groups ⋮ Bounds on the orders of groups of automorphisms of a pseudo‐real surface of given genus ⋮ Abelian covers of chiral polytopes ⋮ Simple group actions on arc-transitive graphs with prescribed transitive local action ⋮ Fixed points on asymmetric Riemann surfaces ⋮ Chiral maps of given hyperbolic type ⋮ Automorphism groups of cyclic \(p\)-gonal pseudo-real Riemann surfaces ⋮ Automorphism groups of symmetric and pseudo-real Riemann surfaces ⋮ Regular dessins d'enfants with dicyclic group of automorphisms ⋮ On the existence of groups of automorphisms of compact Riemann and Klein surfaces

Cites Work

• Classifying finite group actions on surfaces of low genus
• Maximal automorphism groups of symmetric Riemann surfaces with small genus
• Automorphism groups of compact bordered Klein surfaces. A combinatorial approach
• The genus of compact Riemann surfaces with maximal automorphism group
• Determination of all regular maps of small genus
• Symmetries of Riemann surfaces with large automorphism group
• Nonorientable automorphisms of Riemann surfaces
• On Hurwitz extensions by PSL₂(7)
• Symmetries and pseudo-symmetries of hyperelliptic surfaces
• MORE ON GENERATORS FOR ALTERNATING AND SYMMETRIC GROUPS
• On Cyclic Groups of Automorphisms of Riemann Surfaces
• On extendability of group actions on compact Riemann surfaces
• Strongly Branched Coverings of Closed Riemann Surfaces
• Finitely Maximal Fuchsian Groups
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