| 摘要: |
| 设G是有限非可解群且Z(G)=1.如果G的非中心共轭类长为pq,pr2,qr2,那么G同构于5次交错群A5;如果G的非中心共轭类长为15,5p,15p,5p2,3p3,那么G同构于5次对称群S5. |
| 关键词: 有限群 非可解群 共轭类 图 |
| DOI： |
| 投稿时间：2005-07-07修订日期：2005-09-06 |
| 基金项目:Supported by the Natural Sciences Foundation of China (No.10161001)and the Sciences Foundation of Guangxi(No.0575050). |
|
| Finite Non-solvable Groups with the Given Length of Conjugacy Classes |
|
ZHONG Xiang-gui
|
| (Department of Mathematics, Guangxi Normal University, Guilin, Guangxi, 541004, Ch) |
| Abstract: |
| Let G be a finite non-solvable group and Z (G)=1.If the non-central conjugacy-class-lengths of G are pq, pr2, qr2, then G≅A5.If the non-central conjugacy-class-lengths of G are 15, 5p, 15p, 5p2, 3p3, then G≅S5. |
| Key words: finite group non-solvable group conjugacy class graph |
