Classification of normal subgroups of Hecke group H6 in terms of parabolic class number

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Date

2011

Journal Title

Journal ISSN

Volume Title

Publisher

AIP

Abstract

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.

Description

Bu çalışma, 19-25 Eylül 2011 tarihlerinde Halkidiki[Yunanistan]'de düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)'da bildiri olarak sunulmuştur.

Keywords

Mathematics, Hecke groups, Level, Parabolic class number, Riemann surface, Automorphisms

Citation

Yurttaş, A. vd. (2011). "Classification of normal subgroups of Hecke group H6 in terms of parabolic class number". ed. T. E. Simos. AIP Conference Proceedings, Numerical Analysis and Applied Mathematics ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics, Vols A-C, 1389, 315-316.