| 摘要: |
| 讨论素数幂阶元的共轭类长对群结构的影响,改进了一系列已知结果,定理的证明依赖有限单群分类。 |
| 关键词: 有限群 元素 共轭类长 |
| DOI： |
| 投稿时间：1998-08-26 |
| 基金项目:Supported by the National Natural Science Foundation of China (19761001). |
|
| On the Class Length of Elements of Prime Power Order in Finite Groups |
|
Li Shirong
|
| (Dept. of Math., Guangxi University, 10 Xixiangtanglu, Nanning, Guangxi, 530004) |
| Abstract: |
| Let G be a finite group.Using the classification of the finite simple groups we obtain information on the structure of G under some assumptions on the lengths of conjugacy classes of elements of G of prime power order. |
| Key words: finite group element conjugacy class length |
