On the Power Subgroups of the Extended Modular Group \Gamma

Authors

RECEP ŞAHİN
SEBAHATTİN İKİKARDEŞ
ÖZDEN KORUOĞLU

DOI

-

Abstract

In this paper we describe the group structure of power subgroups \Gamma^m of the extended modular group \Gamma and the quotients to them. Then we give some relations between the power subgroups \Gamma^m, the commutator subgroups \Gamma^{\prime} and \Gamma^{\prime \prime} and also the information of interest about free normal subgroups of the extended modular group \Gamma.

Keywords

Extended Modular Group, Power Subgroup, Commutator Subgroup, Free Subgroup

First Page

143

Last Page

152

Recommended Citation

ŞAHİN, RECEP; İKİKARDEŞ, SEBAHATTİN; and KORUOĞLU, ÖZDEN (2004) "On the Power Subgroups of the Extended Modular Group \Gamma," Turkish Journal of Mathematics: Vol. 28: No. 2, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol28/iss2/5