| 有限阶Abelian群同构类的计算 |
| |
| 引用本文： | 赵艺.有限阶Abelian群同构类的计算[J].洛阳师范学院学报,2014(5):30-32. |
| |
| 作者姓名： | 赵艺 |
| |
| 作者单位： | 南京财经大学应用数学学院,江苏南京210046 |
| |
| 摘 要： | 该文通过运用组合数学中整数分拆的知识,结合有限Abelian群的基本结构定理,给出了有限阶Abelian群的同构类的计算公式,使得对于所给的任意有限阶Abelian群,都可以通过该公式计算出它的同构群的种类,最后,作者把该方法在计算机上实现,尤其是当阶数取得很大并且已超越人脑计算时,这将使计算更加容易和便利.
|
| 关 键 词： | Abelian群 同构群 初等因子 整数分拆 |
The Calculation of the Isomorphism Classes of a Finite Abelian Group |
| |
| ZHAO Yi.The Calculation of the Isomorphism Classes of a Finite Abelian Group[J].Journal of Luoyang Teachers College,2014(5):30-32. |
| |
| Authors: | ZHAO Yi |
| |
| Institution: | ZHAO Yi (Department of Fundamental Math. , Nanjing University of Finance and Economics, Nanjing 210046, China) |
| |
| Abstract: | In this paper, the author give a computational formula to calculate the isomorphism classes of a fi- nite abelian group, by using the partition theory of integers in combinatorics and the fundamental structure theorem of finite abelian groups, so that one could determine easily the isomorphism classes of any finite abelian group once its order is given. In the last, she also implement the method on computer, which will make the computation much easier and facilitater, especially when the order gets larger and beyond head computation. |
| |
| Keywords: | abelian groups isomorphim classes elementary divisors partition of integer |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
