AI Summary & Key Takeaways
AI InsightUsing this we give some results about the normal subgroups and Fuchsian subgroups of \overline{H}(l q).
📌 3 Key Takeaways
Abstract
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).
Özet
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).