New characterizations of finite supersoluble groups
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摘要:
Let A be a subgroup of a group G and X a nonempty subset of G. A is called an X-semipermutable subgroup of G if A has a supplement T in G such that for every subgroup T1 of T there exists an element x ∈ X such that AT1x=T1xA. On the basis of this concept we obtain some new characterizations of finite supersoluble groups.