“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 750 |
|
||||
| Abstract: | |||||
|
Let G be a finite group and NG denote the set of 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.
In this paper, we investigate the structure of finite groups G in which G′ is a union of three distinct conjugacy classes of G. We prove, under certain conditions, G is a Frobenius group with kernel G′ and its complement is abelian. Furthermore, we investigate the structure of finite groups G in which NG ≠ ∅ and every element of NG is n-decomposable, for a given n. When G is solvable or n=2,3,4, we determine the structure of such groups.
Download TeX format |
|||||
| back to top | |||||
