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Classification of Normal Subgroups of Hecke Group H6 in Terms of Parabolic Class Number
Conference proceeding   Peer reviewed

Classification of Normal Subgroups of Hecke Group H6 in Terms of Parabolic Class Number

Aysun Yurttas, Musa Demirci and I. Naci Cangul
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, Vol.1389, pp.315-316
AIP Conference Proceedings
01/01/2011
DOI: https://doi.org/10.1063/1.3636729

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In [3], Greenberg showed that n <= 6t(3) so that mu - nt <= 6t(4) for a normal subgroup N of level n and index mu having t parabolic classes in the modular group Gamma. Accola, [1], improved these to n <= 6t(2) always and n <= t(2) if Gamma/N is not abelian. Newman, [5], obtained another generalisation of these results. Hecke groups are generalisations of the modular group. We particularly deal with one of the most important cases, q = 6.

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