On W -S-permutable Subgroups of Finite Groups∗
نویسندگان
چکیده
A subgroup H of a finite group G is said to be W -S-permutable in G if there is a subgroup K of G such that G = HK and H ∩K is a nearly S-permutable subgroup of G. In this article, we analyse the structure of a finite group G by using the properties of W -S-permutable subgroups and obtain some new characterizations of finite p-nilpotent groups and finite supersolvable groups. Some known results are generalized. Mathematics Subject Classification (2010). 20D15, 20D25, 20D30.
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