| 非正规子群共轭类类数为2的有限群的一个注记 |
| |
| 引用本文： | 陈顺民,陈贵云. 非正规子群共轭类类数为2的有限群的一个注记[J]. 吉林大学学报(理学版), 2008, 46(6): 1097-1100 |
| |
| 作者姓名： | 陈顺民 陈贵云 |
| |
| 作者单位： | 1. 陕西师范大学 数学与信息科学学院, 西安 710062； 2. 重庆文理学院 数计系, 重庆 402160;3. 西南大学 数学与统计学院, 重庆 400715 |
| |
| 摘 要： | 利用子群共轭类的性质, 结合Mousavi给出了非正规子群的共轭类类数为2的有限幂零群的分类, 得到了非正规子群的共轭类类数为2的有限群的完全分类, 校正了Mousavi给出的非正规子群的共轭类类数为２的有限非幂零群的分类.
|
| 关 键 词： | 非正规子群 Dedekind群 幂零群 共轭类 类数 |
| 收稿时间： | 2007-12-10 |
A Note on Finite Groups Having Exactly Two Conjugacy Classes of Non-normal Subgroups |
| |
| CHEN Shun-min,CHEN Gui-yun. A Note on Finite Groups Having Exactly Two Conjugacy Classes of Non-normal Subgroups[J]. Journal of Jilin University: Sci Ed, 2008, 46(6): 1097-1100 |
| |
| Authors: | CHEN Shun-min CHEN Gui-yun |
| |
| Affiliation: | 1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China；2. Department of Mathematics and Computer Science, Chongqing University of Arts and Sciences, Chongqing 402160, China;3. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
| |
| Abstract: | On the basis of the properties of conjugacy classes of non normal subgroups and the classification of finite nilpotent groups having exactly two conjugacy classes of non normal subgroups given by Mousavi, finite groups having exactly two conjugacy classes of non normal subgroups are completely classified, revising the classification of finite non nilpotent groups having exactly two conjugacy classes of non normal subgroups given by Mousavi. |
| |
| Keywords: | non normal subgroups Dedekind groups nilpotent groups conjugacy classes class number |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
