Turkish Journal of Mathematics
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.
DOI
10.3906/mat-0910-1
Keywords
Sylow subgroup, F_s-supplemented subgroup, saturated formation, finite groups
First Page
67
Last Page
76
Recommended Citation
ZHU, L, & MIAO, L (2012). On F_s-supplemented primary subgroups of finite groups. Turkish Journal of Mathematics 36 (1): 67-76. https://doi.org/10.3906/mat-0910-1
