| GL(2,Z[i])的有限交换子群 |
| |
| 引用本文： | 刘军成.GL(2,Z[i])的有限交换子群[J].湖北大学学报(自然科学版),2010,32(3):233-240,256. |
| |
| 作者姓名： | 刘军成 |
| |
| 作者单位： | 湖北大学数学与计算机科学学院,湖北,武汉,430062 |
| |
| 基金项目： | 国家自然科学基金，教育部博士点基金 |
| |
| 摘 要： | 给出GL(2,Zi])中有限阶元所有可能的阶,确定了其中的有限阶元和有限循环子群的共轭类,由此构造出GL(2,Zi]的有限交换群,进而确定了GL(2,Zi])的所有有限交换子群的共轭类.
|
| 关 键 词： | 共轭 特征值 生成关系 同构 |
On conjugate class of all finite subgroups in GL(2,Z[i]) |
| |
| LIU Juncheng.On conjugate class of all finite subgroups in GL(2,Z[i])[J].Journal of Hubei University(Natural Science Edition),2010,32(3):233-240,256. |
| |
| Authors: | LIU Juncheng |
| |
| Institution: | LIU Juncheng(School of Mathematics and Computer Science,Hubei University,Wuhan 430062,China) |
| |
| Abstract: | We pointed out the possible order of elements of finite order in GL(2,Zi]) at first,and then found all elements of finite order and all finite cyclic subgruoups with resect to conjugacy,constructed all finite abelian subgroups,finally determined all finite abelian subgroups in GL(2,Zi])by conjugacy. |
| |
| Keywords: | conjugacy characteristic value generator relation isomorphism |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
