弱S-嵌入子群与有限群的超可解

摘要

A subgroup H of G is said to be weakly S-embedded in G,if for some normal subgroup T of G,HT is S-permutable in G and H ∩ T ≤ Hse,where Hse is an S-permutably embedded subgroup of G contained in H.The influence of some weakly S-embedded subgroups on the supersolublity of a finite group G is investigated.And some results about formations are obtained.%群G的子群H被称为G的弱S-嵌入子群,是指存在G的正规子群T使得HT为G的S-可换子群且H∩T≤Hse,其中Hse是群G含于H的一个S-可换嵌入子群.研究了群G的某些素数幂阶弱S-嵌入子群对其超可解性的影响,同时也得到了关于饱和群系的几个新的刻画.