- Turkish Journal of Mathematics
- Vol: 36 Issue: 1
- On Fs-supplemented primary subgroups of finite groups
On Fs-supplemented primary subgroups of finite groups
Authors : Lujin Zhu
Pages : 67-76
View : 11 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Sylow subgroup, Fs-supplemented subgroup, saturated formation, finite groups