Classification of Normal Subgroups of Hecke Group H6 in Terms of Parabolic Class Number
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Yunanistan, 19 - 25 Eylül 2011, cilt.1389, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1389
- Doi Numarası: 10.1063/1.3636729
- Basıldığı Şehir: Halkidiki
- Basıldığı Ülke: Yunanistan
- 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.