有限群G的子群H称为G的完全条件置换子群,如果对于G的任一子群K,存在〈H,K)的某个元素x,使得HK^x=K^xH.本文利用完全条件置换子群的概念研究有限群的超可解性的问题,获得了一些结果.
A subgroup H of a finite group G is said to be completely conditionally permutable in G if for every subgroup K of G there exists an element x Е ( H, K) such that HK^x = K^XH. In this paper, some new results are obtained according to the completely conditional permutability of some subgroups.