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


Creative Commons License

Yurttaş Güneş A., Demirci M., Cangül İ. N.

Numerical Analysis and Applied Mathematics, AIP Conf. Proc., , cilt.1389, ss.315-316, 2011 (Hakemli Dergi) identifier

Özet

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.