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On the principal congruence subgroups of the Hecke-group \(H(\sqrt{5})\) - MaRDI portal

On the principal congruence subgroups of the Hecke-group \(H(\sqrt{5})\) (Q1875901)

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scientific article; zbMATH DE number 2096232
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On the principal congruence subgroups of the Hecke-group \(H(\sqrt{5})\)
scientific article; zbMATH DE number 2096232

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    On the principal congruence subgroups of the Hecke-group \(H(\sqrt{5})\) (English)
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    1 September 2004
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    The authors use elementary methods (quadratic reciprocity, permutation method, and Riemann-Hurwitz) as well as results of \textit{A. M. Macbeath} [Number Theory, Proc. Sympos. Pure Math. 12, 14--32 (1969; Zbl 0192.35703)] to discuss what they very reasonably define as principal congruence subgroups of the Hecke triangle Fuchsian group (of the second kind), of translation length \(\sqrt{5}\).
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    Hecke groups
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