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

Yurttaş Güneş, AYSUN; Demirci, MUSA; Cangül, İSMAİL

doi:10.1063/1.3636729

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

Atıf İçin Kopyala

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

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

Yayın Türü: Makale / Tam Makale
Cilt numarası: 1389
Basım Tarihi: 2011
Doi Numarası: 10.1063/1.3636729
Dergi Adı: Numerical Analysis and Applied Mathematics, AIP Conf. Proc.,
Derginin Tarandığı İndeksler: Other Indexes
Sayfa Sayıları: ss.315-316
Bursa Uludağ Üniversitesi Adresli: Evet

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.