Special automorphisms of group

ABSTRACT SPECIAL AUTOMORPHISMS OF GROUP MAZICIOĞLU, Gülçin M.Sc. in Mathematics Supervisor: Asst. Prof. Dr. Özge ÖZTEKİN June 2019 42 pages Let G be a group. The set of automorphism of G establishes a group with the composition map and this group detones as Aut(G). Some special sub-groups of Aut(G) are the group of IA- automorphims, inner automorphisms, central automorphisms, pointwise-inner automorphisms, tame automorphisms, normal automorphisms, class-preserving automorphisms, center-fixing automorphisms the group of automorphisms. In this thesis, the groups of special automorphisms have been considered and properties have been given. Furthermore, we have compiled that under which conditions of G, the groups of this special automorphism to be equal, from the studies that are related to this topic. Key Words: IA- Automorphims, Inner Automorphisms, Central Automorphisms.