The normalizer of Γ0(N) in PSL(2, ℝ)

DOI10.1017/S001708950000940XzbMath0709.20025MaRDI QIDQ3491811

Mehmet Akbaş, David Singerman

Publication date: 1990

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Möbius transformationsnormalizermodular formsmodular groupternary quadratic formsMonster simple groupWeierstrass points on Riemann surfaces

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items

The normalizer of γ₁(N) in psl₂(R) ⋮ Normalizers of intermediate congruence subgroups of the Hecke subgroups ⋮ Groups commensurable with the modular group. ⋮ Quadrilateral and hexagonal maps corresponding to the subgroups \(\Gamma_0 (N)\) of the modular group ⋮ Unnamed Item ⋮ Suborbital graphs for a non-transitive action of the normalizer ⋮ Suborbital graphs for the group \(\Gamma_{C}(N)\) ⋮ Automorphisms of Cartan modular curves of prime and composite level ⋮ Hurwitz class numbers with level and modular correspondences ⋮ Circuits in suborbital graphs for the normalizer ⋮ Suborbital graphs for the Atkin--Lehner group ⋮ On quadratic points of classical modular curves ⋮ Normalizers of the congruence subgroups of the Hecke groups \(G_4\) and \(G_6\) ⋮ Maps corresponding to the subgroups \(\Gamma_0(N)\) of the modular group ⋮ On quadrilaterals in the suborbital graphs of the normalizer ⋮ Congruence Subgroups Associated to the Monster ⋮ Unnamed Item ⋮ The structure of the normalisers of the congruence subgroups of the Hecke groupG₅ ⋮ Normalizers of congruence groups in SL₂(ℝ) and automorphisms of lattices ⋮ The genus-zero problem for \(n| h\)-type groups

Cites Work

• Unnamed Item
• Symmetries of Riemann surfaces with large automorphism group
• Weierstraß points of \(\Gamma_ 0(n)\)
• Hecke operators on \(\Gamma_0(m)\)
• The Regular Maps on a Surface of Genus Three
• Nilpotent Automorphisms Groups of Riemann Surfaces
• Monstrous Moonshine
• Groups of units of zero ternary quadratic forms
• The Abstract Groups G m,n,p

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