Serkan Ayrıca - Frattini subgroup and their nilpotency

In this report, our main goal is to introduce the concept of Frattini subgroups and its nilpotency in finite groups. First, we will introduce normal, central and composition series. Then we will define lower and upper central series which will be used to define nilpotent groups and we will define derived series which will be used to define solvable groups. After that we will be dealing with the properties of nilpotent groups and Frattini subgroups.