The Influence of X-s-semipermutable Subgroups onthe Structure of Finite Groups

摘要

Let X be a non-empty subset of a group G. A subgroup A of G is said tobe X-s-semipermutable in G if A has a supplement T in G such that for every Sylowsubgroup T, of T, there exists an element x E X such that ATP = TPA. In thispaper, we use X-s-semipermutable subgroup to determine the structures of some finitegroups.