Turkish Journal of Mathematics
DOI
10.3906/mat-0910-1
Abstract
Let G be a finite group and F a formation of finite groups. A subgroup H of G is called F_s-supplemented in G if there exists a subnormal subgroup T of G such that G = HT and (H \cap T)H_G/H_G is contained in the F-hypercenter Z^F_{\infty}(G/H_G) of G/H_G. In this paper, we study the structure of finite groups by using F_s-supplemented subgroups.
Keywords
Sylow subgroup, F_s-supplemented subgroup, saturated formation, finite groups
First Page
67
Last Page
76
Recommended Citation
ZHU, LUJIN and MIAO, LONG
(2012)
"On F_s-supplemented primary subgroups of finite groups,"
Turkish Journal of Mathematics: Vol. 36:
No.
1, Article 6.
https://doi.org/10.3906/mat-0910-1
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss1/6
