ON WEAKLY Fs-QUASINORMAL SUBGROUPS OF FINITE GROUPS

ABSTRACT. Let F be a formation and G a finite group. A subgroup H of G is said to be weakly Fs-quasinormal in Gif G has an S-quasinormal subgroup T such that HT is S-quasinormal in G and (HOT)HG/HG ≤ Zz (G/HG), where Z3G/HG) denotes the F-hypercenter of G/HG. In this paper, we study the structure of finite groups by using the concept of weakly Fs-quasinormal subgroup.