On the Power Subgroups of the Extended Modular Group \Gamma

Authors: RECEP ŞAHİN, SEBAHATTİN İKİKARDEŞ, ÖZDEN KORUOĞLU

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

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