On F_s-supplemented primary subgroups of finite groups

Authors: LUJIN ZHU, LONG MIAO

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

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