The genus of compact Riemann surfaces with maximal automorphism group

DOI10.1016/0021-8693(87)90135-9zbMath0614.20035OpenAlexW2021005048MaRDI QIDQ1820244

Marston D. E. Conder

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90135-9

zbMATH Keywords

triangle groupcompact Riemann surfacesgenusHurwitz groupsmaximal conformal automorphism group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Classification theory of Riemann surfaces (30F20)

Related Items (17)

Maximal automorphism groups of symmetric Riemann surfaces with small genus ⋮ Cyclic actions on compression bodies ⋮ Link indices of Hurwitz maps ⋮ Hurwitz groups: A brief survey ⋮ \((2,m,n)\)-groups with Euler characteristic equal to \(-2^as^b\). ⋮ Arc-transitive abelian regular covers of cubic graphs ⋮ A canonical curve of genus 17 ⋮ Mirrors of reflections of regular maps ⋮ Multiply Quasiplatonic Riemann Surfaces ⋮ Pseudo-real Riemann surfaces and chiral regular maps ⋮ Reducibility of automorphisms of Hurwitz surfaces and the η-invariant ⋮ Coset diagrams for hurwitz groups ⋮ Hurwitz Groups and Hurwitz Generation ⋮ Cyclic p-groups of symmetries of surfaces ⋮ Lifting map automorphisms and MacBeath's theorem ⋮ Erzeugende endlicher projektiver linearer Gruppen. (Generators of finite projective linear groups) ⋮ A VANISHING THEOREM FOR THE -INVARIANT AND HURWITZ GROUPS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• Groups related to compact Riemann surfaces
• A new finite simple group with abelian Sylow 2-subgroups and its characterization
• Maximal subgroups of the Hall-Janko-Wales group
• The non-abelian simple groups g, |g| < 10⁶— character tables
• Note on a conjecture of Coxeter
• On Hurwitz extensions by PSL₂(7)
• Generators for Alternating and Symmetric Groups
• The Nonabelian Simple Groups G, | G | < 10 6 -Maximal Subgroups
• The Nonabelian Simple Groups G, | G | < 10 6 -Minimal Generating Pairs
• Defining-relations for Hurwitz groups
• Endliche Gruppen I
• The Abstract Groups G m,n,p

This page was built for publication: The genus of compact Riemann surfaces with maximal automorphism group