| 计算机代数在有限群同构类计数中的设计与应用 |
| |
| 引用本文： | 邱燕红,;田宝单.计算机代数在有限群同构类计数中的设计与应用[J].四川轻化工学院学报,2008(4):13-15. |
| |
| 作者姓名： | 邱燕红 ;田宝单 |
| |
| 作者单位： | [1]西南科技大学理学院,四川绵阳621010 |
| |
| 基金项目： | 基金项目：西南科技大学青年科技基金（07zx3129） |
| |
| 摘 要： | 文献1]论证n阶群同构类的个数在1000以内的存在性。文章给出群同构类Balass计数公式运算的算法，用计算机代数语言Matlab加以实现，进而将群同构类魄个数推广到3000。即设f（n）为n阶群同构类的个数，证明方程f（n）=k，（1≤k≤3000）解的存在性。
|
| 关 键 词： | 有限群 群的同构类的个数 Balass公式 |
Realization on the Computer Algebra about Enumeration Formulas for the Number of Isomorphism Classes of Finite Groups |
| |
| Affiliation: | QIU Yan-hong, TIA N Bao-dan (School of Science, Southwest University of Science and Technology, Mianyang 621010, China) |
| |
| Abstract: | It has been discussed in the Reference 1] that if 1≤k≤1000, algorithm of Balass＇enumeration formulas for the number of isomorphism classes of groups is obtained in the paper, and is realized by Matlab program. There are infinitely many solutions for f（n）=k. Also k is extended, that is if, there are infinitely many solutions for f（n）=k. |
| |
| Keywords: | finite group number of isomorphism classes of groups Balass＇ formula |
| 本文献已被 维普 等数据库收录！ |
