两类亚循环群之间的同态数量  

The Number of Homomorphisms between Classes of Metacyclic Groups

作　　者：王佳俊 高百俊 Wang Jiajun;Gao Baijun(College of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《伊犁师范大学学报（自然科学版）》2023年第2期9-15,共7页Journal of Yili Normal University：Natural Science Edition

基　　金：新疆维吾尔自治区天山青年人才项目(2020Q023);伊犁师范大学博士科研启动项目(2020YSBS010)。

摘　　要：利用群里的基础知识和初等数论的基本方法,确定了一类内交换亚循环2-群M_(2)(2,m)的元素特征,并计算了它与一类2np阶亚循环群G_(n,2p)之间的同态数量,验证了这两类群是满足T.Asai和T.Yoshid猜想的.By using the basic knowledge of finite groups and the methods of elementary number theory,we studied the element characteristics of a class of interabelian metacyclic 2-groups,calculated the number of homomorphisms between,and metacyclic groups of order,and verified that the number of homomorphisms between the two groups satisfied the conjecture of T.Asai and T.Yoshida.

关 键 词：亚循环群 同态数量 T.Asai和T.Yoshida猜想 

分 类 号：O152.6[理学—数学]