Journals / Turkish Journal of Mathematics / 2004 / Cilt: 28 - Sayı: 2

On the Power Subgroups of the Extended Modular Group G

Pages
143–152
DOI
—

Abstract

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

Özet

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

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