Nihal Yilmaz ÖZGÜR, Recep ŞAHİN

128103

On the Extended Hecke Groups \overline{H}(l q)

Hecke groups H(l q) have been studied extensively for many aspects in the literature, [5], [8]. The Hecke group H(l3), the modular group PSL(2, \Bbb{Z} ) , has especially been of great interest in many fields of mathematics, for example number theory, automorphic function theory and group theory. In this paper we consider the extended Hecke groups \overline{H}(l q) which are defined analogously with the extended modular group. We find the conjugacy classes of torsion elements in \overline{H}(l q). Using this we give some results about the normal subgroups and Fuchsian subgroups of \overline{H}(l q).

Anahtar Kelimeler:

Extended Hecke group, conjugacy class, extended modular group

On the Extended Hecke Groups \overline{H}(l q)

Hecke groups H(l q) have been studied extensively for many aspects in the literature, [5], [8]. The Hecke group H(l3), the modular group PSL(2, \Bbb{Z} ) , has especially been of great interest in many fields of mathematics, for example number theory, automorphic function theory and group theory. In this paper we consider the extended Hecke groups \overline{H}(l q) which are defined analogously with the extended modular group. We find the conjugacy classes of torsion elements in \overline{H}(l q). Using this we give some results about the normal subgroups and Fuchsian subgroups of \overline{H}(l q).

Keywords:

Extended Hecke group, conjugacy class, extended modular group,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

Sayıdaki Diğer Makaleler

Professor Masatoshi Gündüz Ikeda: A Life Devoted to Mathematics

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