On Hurwitz extensions by PSL2(7)

DOI10.1017/S0305004100056231zbMath0419.20034MaRDI QIDQ3852388

Jeffrey M. Cohen

Publication date: 1979

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

compact Riemann surfacetriangle groupHurwitz groupRiemann-Hurwitz formula

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Other groups related to topology or analysis (20F38) Other geometric groups, including crystallographic groups (20H15)

Related Items (15)

Macbeath's curve and the modular group ⋮ Maximal automorphism groups of symmetric Riemann surfaces with small genus ⋮ Hurwitz groups: A brief survey ⋮ Systolic length of triangular modular curves ⋮ Hypermaps and multiply quasiplatonic Riemann surfaces ⋮ Arc-transitive abelian regular covers of cubic graphs ⋮ Pseudo-real Riemann surfaces and chiral regular maps ⋮ Elementary abelian regular coverings of Platonic maps ⋮ Coset diagrams for hurwitz groups ⋮ Hurwitz Groups and Hurwitz Generation ⋮ Classifying finite group actions on surfaces of low genus ⋮ The genus of compact Riemann surfaces with maximal automorphism group ⋮ The modular torus has maximal length spectrum ⋮ On compact Riemann surfaces with a maximal number of automorphisms ⋮ A family of Hurwitz groups with non-trivial centres

Cites Work

• Unnamed Item
• On the group-defining relations \((2,3,7;p)\)
• On a Curve of Genus 7
• Necessary and Sufficient Conditions for Generating Certain Simple Groups by Two Operators of Periods Two and Three

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