Finite groups with some weakly s-supplementally embedded subgroups

Authors : Tao ZHAO

Pages : 762-769

Doi:10.3906/mat-1111-2

View : 13 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :A subgroup H of G is said to be weakly s-supplementally embedded in G if there exist a subgroup T of G and an s-permutably embedded subgroup Hse of G contained in H such that G=HT and H \cap T \leq Hse. In this paper, we investigate the influence of some weakly s-supplementally embedded subgroups on the structure of a finite group G. Some earlier results are unified and generalized.
Keywords : s permutable subgroup, weakly s supplementally embedded subgroup, p nilpotent group, formation