M.Sc. Tezi Görüntüleme

Student:	Zeynep AKDEMİRCİ
Supervisor:	Prof. Dr. Mehmet AKBAŞ
Department:	Matematik
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University Turkey

Title of the Thesis:	FREE AND NORMAL SUBGROUPS OF THE MODULAR GROUP
Level:	M.Sc.
Acceptance Date:	10/12/2012
Number of Pages:	49
Registration Number:	i2567

Summary:

The major aim of the present thesis is devoted to investigation of the subgroups of modular group Γ and give detailed information on these groups.

In the first chapter, general informations about the subject are discussed and proofs of some important theorems and conclusions in the literature were given in detail.

In the second chapter, the structure of some subgroups of the modular group like normal subgroup, free subgroup and some important theorems and conclusions about free product are introduced.

Key Words: Modular Group, Free Product, Free Group, Commutator, İndex, Congruance Subgroup.