| 两类特殊亚循环群之间的同态数量 |
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| 引用本文： | 任小强,高百俊.两类特殊亚循环群之间的同态数量[J].吉林大学学报(理学版),2023,61(1):66-72. |
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| 作者姓名： | 任小强 高百俊 |
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| 作者单位： | 伊犁师范大学 数学与统计学院, 应用数学研究所, 新疆 伊宁 835000 |
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| 摘 要： | 利用初等数论的基本知识，研究一类10pn阶亚循环群■的元素特征，计算其与亚循环群■之间的同态数量，并验证其同态数量满足Asai和Yoshida猜想．
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| 关 键 词： | 亚循环群 同态数量 Asai和Yoshida猜想 |
| 收稿时间： | 2022-04-20 |
Number of Homomorphisms between Two Classes of Special Metacyclic Groups |
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| REN Xiaoqiang,GAO Baijun.Number of Homomorphisms between Two Classes of Special Metacyclic Groups[J].Journal of Jilin University: Sci Ed,2023,61(1):66-72. |
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| Authors: | REN Xiaoqiang GAO Baijun |
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| Institution: | School of Mathematics and Statistics, Institute of Applied Mathematics, Yili Normal University, Yining 835000, Xinjiang Uygur Autonomous Region, China |
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| Abstract: | By using the basic knowledge of elementary number theory, we studied the element characteristics of a class of metacyclic groups, calculated the number of homomorphisms between H and metacyclic groups and verified that the number of homomorphisms between the two groups satisfied the conjecture of Asai and Yoshida. |
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| Keywords: | metacyclic group number of homomorphism conjecture of Asai and Yoshida |
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