Classification of torsion-free genus zero congruence groups

DOI10.1090/S0002-9939-01-06176-7zbMath0981.20038OpenAlexW1553338919MaRDI QIDQ2716092

Abdellah Sebbar

Publication date: 6 June 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06176-7

zbMATH Keywords

conjugacy classesautomorphic formsmodular groupgenus zero congruence groupsLarcher congruence subgroupstorsion-free congruence subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06)

Related Items (14)

Modular groups and planar maps ⋮ Existence conditions for a class of modular subgroups of genus zero ⋮ Congruence Subgroups of PSL(2, Z) of Genus Less than or Equal to 24 ⋮ On a probabilistic local-global principle for torsion on elliptic curves ⋮ On the signature of a class of congruence subgroups. ⋮ ${\cal N}=2$ N = 2 gauge theories: Congruence subgroups, coset graphs, and modular surfaces ⋮ Explicit equations of some elliptic modular surfaces ⋮ Congruence Link Complements—A 3-Dimensional Rademacher Conjecture ⋮ Congruence Subgroups of Groups Commensurable with PSL (2, Z) of Genus 0 and 1 ⋮ On Conjugacy Classes of Congruence Subgroups of PSL(2, R) ⋮ On Atkin--Swinnerton-Dyer congruence relations ⋮ Torsion-free genus zero congruence subgroups of \(\text{PSL}_2(\mathbb R)\) ⋮ Principal congruence link complements ⋮ Machine-learning dessins d’enfants: explorations via modular and Seiberg–Witten curves

Cites Work

• The cusp amplitudes of the congruence subgroups of the classical modular group. II
• Fuchsian groups, Schwarzians, and theta functions
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