Quadrilateral and hexagonal maps corresponding to the subgroups \(\Gamma_0 (N)\) of the modular group

DOI10.1007/s00373-022-02503-0OpenAlexW4281256429MaRDI QIDQ2141344

Bahadır Özgür Güler, Nazlı Yazıcı Gözütok

Publication date: 25 May 2022

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-022-02503-0

zbMATH Keywords

regular mapsnormalizermodular group

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Cites Work

• Suborbital graphs for the normalizer of \(\Gamma_0(m)\)
• Regular maps and principal congruence subgroups of Hecke groups.
• Maps corresponding to the subgroups \(\Gamma_0(N)\) of the modular group
• On suborbital graphs for the normalizer of \(\Gamma _{0}(N)\)
• The normalizer of Γ₀(N) in PSL(2, ℝ)
• The Group Structure of the Normalizer of Γ₀(N) After Atkin–Lehner
• Monstrous Moonshine
• Groups of units of zero ternary quadratic forms
• Theory of Maps on Orientable Surfaces
• On a Theorem of Hurwitz
• Congruence Subgroups Associated to the Monster
• Quadrilateral cell graphs of the normalizer with signature (2,4,∞)
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