Finite groups with some weakly s-supplementally embedded subgroups

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.

Anahtar Kelimeler:

s-permutable subgroup, weakly s-supplementally embedded subgroup, p-nilpotent group, formation

Finite groups with some weakly s-supplementally embedded subgroups

Keywords:

s-permutable subgroup, weakly s-supplementally embedded subgroup, p-nilpotent group, formation,

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