Normal Congruence Subgroups of Hecke Groups

DOI10.1142/S1005386708000679zbMath1162.20034MaRDI QIDQ3597581

Bo Chen, Pingzhi Yuan

Publication date: 9 February 2009

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

Full work available at URL: http://www.worldscinet.com/ac/15/1504/S1005386708000679.html

zbMATH Keywords

Hecke groupsprincipal congruence subgroupsnormal congruence subgroups

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Cites Work

• Normal congruence subgroups of the Hecke groups \(G(2^{(1/2)})\) and \(G(3^{(1/2)})\)
• Length spectra of the Hecke triangle groups
• Principal congruence subgroups of Hecke groups \(H(\sqrt{q})\)
• A class of continued fractions associated with certain properly discontinuous groups
• Normal subgroups of Hecke groups and regular maps
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung
• Principal congruence subgroups of the Hecke groups

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