On 12 and 13 -Decomposable Finite Groups

چکیده مقاله

Let G be a finite group andNG denote the set of all non-trivial proper normal subgroups of G. An element K of NG is said to be n-decomposable if K is a union of n distinct conjugacy classes of G. G is called n-decomposable, if NG = 0 and every element of NG is n-decomposable. In this paper, the problem of finding the structure of non-solvable non-perfect 12 and 13- decomposable finite groups are considered into account.