两类特殊亚循环群之间的同态数量

吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (1): 66-72.

两类特殊亚循环群之间的同态数量

任小强, 高百俊

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

收稿日期:2022-04-20 出版日期:2023-01-26 发布日期:2023-01-26
通讯作者: 高百俊 E-mail:dqgbj2008@163.com

Number of Homomorphisms between Two Classes of Special Metacyclic Groups

REN Xiaoqiang, GAO Baijun

School of Mathematics and Statistics, Institute of Applied Mathematics, Yili Normal University, Yining 835000, Xinjiang Uygur Autonomous Region, China

Received:2022-04-20 Online:2023-01-26 Published:2023-01-26

摘要/Abstract

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.

关键词: 亚循环群, 同态数量, Asai和Yoshida猜想

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.

Key words: metacyclic group, number of homomorphism, , conjecture of Asai and Yoshida

中图分类号:

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.

REN Xiaoqiang, GAO Baijun. Number of Homomorphisms between Two Classes of Special Metacyclic Groups[J]. Journal of Jilin University Science Edition, 2023, 61(1): 66-72.

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