Principal congruence subgroups of the Hecke groups

DOI10.1006/jnth.2000.2542zbMath0964.11023OpenAlexW1979173573MaRDI QIDQ5928006

Mong-Lung Lang, Ser-Peow Tan, Chong-Hai Lim

Publication date: 19 March 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2542

zbMATH Keywords

Hecke groupsprincipal congruence subgroups

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (13)

Algebraic curves uniformized by congruence subgroups of triangle groups ⋮ Infinitely many lattice surfaces with special pseudo-Anosov maps ⋮ The geometry behind Galois' final theorem ⋮ Some results on Hecke and extended Hecke groups ⋮ Power subgroups of some Hecke groups. ⋮ Some normal subgroups of the extended Hecke groups \(\overline H(\lambda_p)\). ⋮ Regular maps and principal congruence subgroups of Hecke groups. ⋮ Normal Congruence Subgroups of Hecke Groups ⋮ Rosen fractions and Veech groups, an overly brief introduction ⋮ Principal congruence subgroups of Hecke groups \(H(\sqrt{q})\) ⋮ Congruence subgroups of Hecke groups ⋮ Principal congruence subgroups of the Hecke groups and related results ⋮ GENERALIZED M*-GROUPS

Cites Work

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• Über die Heckeschen Gruppen \(G(\lambda)\). II
• The invariants of the congruence subgroups \(G_ 0(\mathcal P)\) of the Hecke group \(G_ 5\)
• Independent generators for congruence subgroups of Hecke groups
• Über die Heckeschen Gruppen \({\mathfrak G}(\lambda)\)
• Generalized Kloosterman Sums and the Fourier Coefficients of Cusp Forms

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