摘要
设G为有限群,H≤G,称H为G的NS-拟正规子群,如果对于满足(p,|H|)=1每个素数p,和适合H≤K≤G的每个K,均有NK(H)包含K的某些Sylow-p子群.证明了NS-拟正规子群的若干性质,并应用它研究了有限群的超可解性.
Hypothesize G is a finite group,C≤G, if each prime p satisfy the condition of （P, 丨H丨）=1, and every K is suitable H≤K≤G,then Nk （H） contains some certain Sylow-p subgroups of K, called H is the NS-quasinormal subgroup of G. Some properties of NS-quasinormal subgroup are proved,and it is used to study the properties of supersolvable group of finite group.
出处
《西安工程大学学报》
CAS
2013年第1期115-117,共3页
Journal of Xi’an Polytechnic University
基金
陕西省教育厅自然科学专项基金资助项目(11JK0499)
关键词
拟正规子群
NS-拟正规子群
超可解群
quasinormal subgroup
NS-quasinormal subgroup
supersolvable group
