S-拟正规嵌入子群

摘要

A subgroup H of a group G is said to be S-quasinormally embedded in G if for each prime p dividing the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some S-quasinorml subgroup of G. In this paper we analyse the characteristics of p-nilpotent group and supersovable group with S-quasinormally embedded subgroups.%群G的一个子群H称为在G中S-拟正规嵌入的,如果对H阶中的每一个素因子p,H的Sylowp-子群也是G的某个S-拟正规子群的Sylowp-子群.利用子群的S-拟正规嵌入性给出了群为p-幂零群及超可解群的一些特征.