PSL(2, q) as an image of the extended modular group with applications to group actions on surfaces

DOI10.1017/S001309150001806XzbMath0588.20029MaRDI QIDQ3715327

David Singerman

Publication date: 1987

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

zbMATH Keywords

Riemann surfacesregular mapsKlein surfacesextended modular groupgroup actions on surfaces

Mathematics Subject Classification ID

Geometric group theory (20F65) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Modular and automorphic functions (11F03) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (19)

Nilpotent Automorphism Groups of Bordered Klein Surfaces ⋮ Parametrization of all homomorphisms fromPGL(2Z) intoPGL{2,q) ⋮ Unnamed Item ⋮ Free products with amalgamation of finite groups and finite outer automorphism groups of free groups ⋮ GENERALIZED PELL SEQUENCES RELATED TO THE EXTENDED GENERALIZED HECKE GROUPS ${\bar{H}}$ 3,q AND AN APPLICATION TO THE GROUP ${\bar{H}}$ 3,3 ⋮ On the Extended Hecke Group $\overline{H}(\lambda_5)$ ⋮ Some normal subgroups of the extended Hecke groups \(\overline H(\lambda_p)\). ⋮ Subdirect products of \(M^*\)-groups. ⋮ Real genus of minimal nonnilpotent groups ⋮ Real genus actions of finite simple groups ⋮ On Nilpotent Groups of Automorphisms of Klein Surfaces ⋮ The real genus of the alternating groups. ⋮ Polynomial Roots with Common Tails ⋮ Groups \(\mathrm{PSL}(3,p)\) and nonorientable regular maps. ⋮ Finite subgroups of the extended modular group ⋮ Principal congruence subgroups of the Hecke groups and related results ⋮ GENERALIZED M*-GROUPS ⋮ Finite groups acting on bordered surfaces and the real genus of a group ⋮ Extensions of the modular group

Cites Work

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• Klein surfaces with maximal symmetry and their groups of automorphisms
• Bordered and unbordered Klein surfaces with maximal symmetry
• Symmetries of Riemann surfaces with large automorphism group
• Bordered Klein Surfaces with Maximal Symmetry

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