Regular maps and principal congruence subgroups of Hecke groups.

DOI10.1016/j.ejc.2004.01.010zbMath1075.20022OpenAlexW1984970648MaRDI QIDQ1767630

Ioannis Ivrissimtzis, David Singerman

Publication date: 8 March 2005

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2004.01.010

zbMATH Keywords

normal subgroupsregular mapsHecke groupsprincipal congruence subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Planar graphs; geometric and topological aspects of graph theory (05C10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (10)

Quadrilateral and hexagonal maps corresponding to the subgroups \(\Gamma_0 (N)\) of the modular group ⋮ Hexagonal cell graphs of the normalizer with signature $(2, 6, \infty)$ ⋮ Unnamed Item ⋮ Reformulating the \(p\)-adic Littlewood conjecture in terms of infinite loops mod \(p^k\) ⋮ Some results on Hecke and extended Hecke groups ⋮ Regular coverings and parallel products of Farey maps ⋮ Rosen fractions and Veech groups, an overly brief introduction ⋮ Maps corresponding to the subgroups \(\Gamma_0(N)\) of the modular group ⋮ Principal congruence subgroups of the Hecke groups and related results ⋮ Trivalent expanders, \((\Delta - Y)\)-transformation, and hyperbolic surfaces

Cites Work

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• Kepler's small stellated dodecahedron as a Riemann surface
• The Regular Maps on a Surface of Genus Three
• Generalized Kloosterman Sums and the Fourier Coefficients of Cusp Forms
• Theory of Maps on Orientable Surfaces
• An arithmetic characterization of the parabolic points of G(2cos π/5)
• Über die regulären Zerlegungen geschlossener orientierbarer Flächen.
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• Principal congruence subgroups of the Hecke groups

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