Nonorientable automorphisms of Riemann surfaces

DOI10.1007/BF01198242zbMath0561.20037MaRDI QIDQ2266066

José Javier Etayo Gordejuela

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

genuscyclic groups of automorphisms of Riemann surfacesnon-orientable elementssense-reversing automorphism

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (20)

Groups of automorphisms of Riemann and Klein surfaces, our joint work with Marston Conder ⋮ On asymmetric p-hyperelliptic Riemann surfaces ⋮ Homology and orientation reversing periodic maps on surfaces ⋮ Minimal genus of Klein surfaces admitting an automorphism of a given order ⋮ An algorithm to compute orders and ramification indices of cyclic actions on compact surfaces. II ⋮ Minimal genus problem for pseudo-real Riemann surfaces ⋮ On classification of cyclic orientation-reversing actions of big order on closed surfaces ⋮ Abelian actions on pseudo-real Riemann surfaces ⋮ On (q,n)-gonal pseudo-real Riemann surfaces ⋮ Automorphism groups of pseudo-real Riemann surfaces of low genus ⋮ Bounds on the orders of groups of automorphisms of a pseudo‐real surface of given genus ⋮ Enumeration of unsensed \(r\)-regular maps on the projective plane and the Klein bottle ⋮ Abelian actions on compact bordered Klein surfaces ⋮ Enumeration of unsensed orientable and non-orientable maps ⋮ Pseudo-real Riemann surfaces and chiral regular maps ⋮ Fixed points on asymmetric Riemann surfaces ⋮ Automorphism groups of cyclic \(p\)-gonal pseudo-real Riemann surfaces ⋮ Automorphism groups of symmetric and pseudo-real Riemann surfaces ⋮ Minimal genus of abelian actions on Klein surfaces with boundary ⋮ On the existence of groups of automorphisms of compact Riemann and Klein surfaces

Cites Work

• Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary
• On a Theorem of Hurwitz
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• The Classification of Non-Euclidean Plane Crystallographic Groups
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