Turkish Journal of Mathematics
DOI
-
Abstract
Hecke groups H(\lambda _q) have been studied extensively for many aspects in the literature, [5], [8]. The Hecke group H(\lambda_3), 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}(\lambda _q) which are defined analogously with the extended modular group. We find the conjugacy classes of torsion elements in \overline{H}(\lambda _q). Using this we give some results about the normal subgroups and Fuchsian subgroups of \overline{H}(\lambda _q).
Keywords
Extended Hecke group, conjugacy class, extended modular group
First Page
473
Last Page
480
Recommended Citation
ÖZGÜR, NİHAL YILMAZ and ŞAHİN, RECEP (2003) "On the Extended Hecke Groups \overline{H}(\lambda _q)," Turkish Journal of Mathematics: Vol. 27: No. 4, Article 2. Available at: https://journals.tubitak.gov.tr/math/vol27/iss4/2
