【摘要】 有限群G的子群H称为G的条件置换子群,如果对于G的任意子群K,存在G的某个元素x,使得HKx=KxH.本文利用条件置换子群的概念研究了有限群的某些特殊子群的极大子群,得到了p-超可解群的一些充分条件.更多还原

【Abstract】 A subgroup H of a finite group G is said to be conditionally permutable in G if for every subgroup K of G there exists an element x∈G such that HKx=KxH.In this paper,we study the maximal subgroups of some special subgroups of G by its conditionally permutable properties and some sufficient conditions are obtained about p-supersoluble group.更多还原