Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 1
On Fs-supplemented primary subgroups of finite groups
- Pages
- 67–76
- DOI
- —
Abstract
Let G be a finite group and F a formation of finite groups. A subgroup H of G is called Fs-supplemented in G if there exists a subnormal subgroup T of G such that G = HT and (H \cap T)HG/HG is contained in the F-hypercenter ZF\infty(G/HG) of G/HG. In this paper, we study the structure of finite groups by using Fs-supplemented subgroups.
Özet
Let G be a finite group and F a formation of finite groups. A subgroup H of G is called Fs-supplemented in G if there exists a subnormal subgroup T of G such that G = HT and (H \cap T)HG/HG is contained in the F-hypercenter ZF\infty(G/HG) of G/HG. In this paper, we study the structure of finite groups by using Fs-supplemented subgroups.