|
|||||
|
|
| 关于Shlyk定理的一个注记 | |
| 引用本文： | 史江涛,张翠,郭松涛.关于Shlyk定理的一个注记[J].广西师范大学学报(自然科学版),2012,30(1):22-24. |
| 作者姓名： | 史江涛 张翠 郭松涛 |
| 作者单位： | 1. 烟台大学 数学与信息科学学院,山东烟台,264005 2. University of Primorska,IAM, Muzejski trg 2,6000 Koper, Slovenia 3. 北京交通大学 数学系,北京,100044 |
| 基金项目： | 国家自然科学基金资助项目，中国博士后科学基金资助项目 |
| 摘 要： | Shlyk定理说明任一有限非可解群的所有非正规的非幂零极大子群的交必幂零。本文给出Shlyk定理一个新的证明,并证明了任一有限非可解群的所有非幂零极大子群的交必等于它的Frattini子群。 |
| 关 键 词： | 有限群 非幂零极大子群 可解群 |
A Note on Theorem of Shlyk |
|
| SHI Jiang-tao , ZHANG Cui , GUO Song-tao.A Note on Theorem of Shlyk[J].Journal of Guangxi Normal University(Natural Science Edition),2012,30(1):22-24. | |
| Authors: | SHI Jiang-tao ZHANG Cui GUO Song-tao |
| Institution: | 1.School of Mathematics and Information Science,Yantai University,Yantai Shandong 264005,China;2.University of Primorska,IAM,Muzejski trg 2,6000 Koper,Slovenia;3.Department of Mathematics,Beijing Jiaotong University,Beijing 100044,China) |
| Abstract: | The theorem of Shlyk indicates that the intersection of all nonnormal nonnilpotent maximal subgroups of a finite nonsolvable group is nilpotent.In this paper,a new proof of Shlyk’s theorem is given.Moreover,it is proved that the intersection of all nonnilpotent maximal subgroups of a finite nonsolvable group must be equal to its Frattini subgroup. |
| Keywords: | finite group nonnilpotent maximal subgroup solvable group |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |