Identifying congruence subgroups of the modular group

DOI10.1090/S0002-9939-96-03496-XzbMath0846.20051MaRDI QIDQ4875598

Tim Hsu

Publication date: 29 September 1996

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

zbMATH Keywords

modular groupcongruence subgroups

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items

Arithmetic and geometry of the Hecke groups ⋮ Existence conditions for a class of modular subgroups of genus zero ⋮ COMPUTING WITH SUBGROUPS OF THE MODULAR GROUP ⋮ On the computation of modular forms on noncongruence subgroups ⋮ Zariski density and computing with \(S\)-integral groups ⋮ Local-global principles in circle packings ⋮ Noncongruence subgroups and Maass waveforms ⋮ Hopf algebras and congruence subgroups ⋮ Permutations of massive vacua ⋮ On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\) ⋮ Congruence testing for odd subgroups of the modular group ⋮ Congruence subgroups from representations of the three-strand braid group ⋮ Adjacency Matrices of PSL(2,5) and Resemblance of Its Coset Diagrams with Fullerene C₆₀

Cites Work

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• The Schur multiplicator of SL(2,Z/mZ) and the congruence subgroup property
• The cusp amplitudes of the congruence subgroups of the classical modular group
• An extension of F. Klein's level concept
• On Ihara's modular group
• On the construction of non-congruence subgroups
• SPECIAL POLYGONS FOR SUBGROUPS OF THE MODULAR GROUP AND APPLICATIONS
• On Cycloidal Subgroups of the Modular Group^†
• A Presentation of the Groups PSL(2, p)
• Subgroups of the Classical Modular Group