The Character Tables Of Some Class Special Finite F-Groups

We can find many connections between the representation theoryand the structure theory of finite groups. A great deal of informationabout groups can be got from their character tables. It's necessary for usto decide the character tables of some groups which have special proper-ties.In this thesis, we discuss the character tables of some special finiteFrobenius groups (F-group). The whole dissertation includes two chap-ters. In the first chapter, we provide some fundamental concepts andtheorems. In the second chapter, we discuss the character tables of somespecial finite F-groups. By investigating the conjugacy class of F-groupsand their irreducible character, we construct the character table of F-groups with order p~mq. We also obtain the character table of F-groupswith cyclic kernel and with order p~mq~2. Finally, we get the charactertable of F-groups with order 2~3×3~2.