| 中心二面体群与二面体群之间的同态个数 |
| |
| 引用本文： | 谢伟,郭继东.中心二面体群与二面体群之间的同态个数[J].山东大学学报(理学版),2020,55(8):80-86. |
| |
| 作者姓名： | 谢伟 郭继东 |
| |
| 作者单位： | 伊犁师范大学数学与统计学院,新疆 伊宁835000;伊犁师范大学数学与统计学院,新疆 伊宁835000 |
| |
| 基金项目： | 新疆维吾尔自治区高校科研计划自然科学重点项目(XJEDU2020I018) |
| |
| 摘 要： | 基于群理论中中心二面体群与二面体群的群结构以及元素的性质,利用代数学及数论的相关理论, 计算中心二面体群与二面体群之间的同态个数。作为应用,验证了 T.Asai & T.Yoshida 猜想对此类群成立。
|
| 关 键 词： | 中心二面体群 同态 T.Asai&T.Yoshida猜想 |
Number of homomorphisms between central-dihedral group and dihedral group |
| |
| XIE Wei,GUO Ji-dong.Number of homomorphisms between central-dihedral group and dihedral group[J].Journal of Shandong University,2020,55(8):80-86. |
| |
| Authors: | XIE Wei GUO Ji-dong |
| |
| Institution: | College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China |
| |
| Abstract: | Based on the group structure and element properties of central-dihedral group and dihedral group in group theory, the number of homomorphisms between central-dihedral group and dihedral group is calculated by using the related theories of algebra and number theory. As an application, the conjecture of T.Asai & T.Yoshida is proved to be valid for such groups. |
| |
| Keywords: | central-dihedral group homomorphism conjecture of T Asai &T Yoshida |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
