Arithmetic and geometry of the Hecke groups

DOI10.1016/j.jalgebra.2016.05.001zbMath1417.11032arXiv1509.04796OpenAlexW2963801782MaRDI QIDQ296675

Mong-Lung Lang, Cheng Lien Lang

Publication date: 23 June 2016

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

Full work available at URL: https://arxiv.org/abs/1509.04796

zbMATH Keywords

Hecke groupscommutator subgroupscongruence subgroupsHurwitz-Nielsen realisation problemKurosh's theorem

Mathematics Subject Classification ID

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

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Cites Work

• Independent generators for congruence subgroups of Hecke groups
• An extension of F. Klein's level concept
• On Poincaré's theorem for fundamental polygons
• A class of continued fractions associated with certain properly discontinuous groups
• A New Proof and an Extension of a Theorem of Millington on the Modular Group
• 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
• Identifying congruence subgroups of the modular group
• Subgroups of the Classical Modular Group