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。
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 n T 〈 nse, where H,e is an S-permutably contained in H. The influence of some weakly S-embedded subgroups on the group G is investigated. And some results about formations are obtained. embedded subgro supersolublity up of G a finite