Normalisers of subgroups of the modular group

DOI10.1006/jabr.2001.9024zbMath1007.20045OpenAlexW2036482764MaRDI QIDQ1604384

Mong-Lung Lang

Publication date: 4 July 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.9024

zbMATH Keywords

algorithmssubgroups of finite indexautomorphism groupsnormalizersmodular groupcompact Riemann surfacesfundamentals polygons

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Infinite automorphism groups (20B27)

Related Items (7)

On Rademacher's conjecture: congruence subgroups of genus zero of the modular group. ⋮ Groups commensurable with the modular group. ⋮ ON THE AUTOMORPHISMS OF THE NONSPLIT CARTAN MODULAR CURVES OF PRIME LEVEL ⋮ On quadratic points of classical modular curves ⋮ Some normal subgroups of the extended Hecke groups \(\overline H(\lambda_p)\). ⋮ Normal subgroups of Hecke groups \(H(\lambda)\). ⋮ Normalizers of congruence groups in SL₂(ℝ) and automorphisms of lattices

Cites Work

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• Independent generators for congruence subgroups of Hecke groups
• An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group
• An Algorithm for Determining if a Subgroup of the Modular Group is Congruence
• Normalizer of \(\Gamma_1(m)\)
• Normalizers of the congruence subgroups of the Hecke groups \(G_4\) and \(G_6\)

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