Level and index in the modular group

DOI10.1017/S0308210500025993zbMath0565.20028MaRDI QIDQ3679385

W. Wilson Stothers

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

widthmodular groupcuspslevelWohlfahrt's theoremnon-congruence subgroupscongruence groupnumber of congruence subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06)

Related Items (5)

On Rademacher's conjecture: congruence subgroups of genus zero of the modular group. ⋮ On the computation of modular forms on noncongruence subgroups ⋮ On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\) ⋮ Congruence subgroups from representations of the three-strand braid group ⋮ On Thompson's finiteness theorem.

Cites Work

• Impossible specifications for the modular group
• Permutations and cubic graphs
• On a result of Petersson concerning the modular group
• Subgroups of infinite index in the modular group
• Triangular Maps and Non-Congruence Subgroups of the Modular Group
• Diagrams associated with subgroups of Fuchsian groups
• Bounds for the number of generators of a finite group

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