一类6pq阶群的自同态数量  

The Number of Endomorphisms of A Class of Groups of Order 6pq

作　　者：李雪怡 高百俊 Li Xueyi;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)》2025年第1期19-22,共4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);伊犁哈萨克自治州科技计划项目(YJC2023A04)。

摘　　要：结合同余方程的相关知识,确定了一类6pq阶非交换群的元素及性质,借助其自同态数量,验证了这类群是满足T.Asai和T.Yoshida猜想的.In this paper,the elements and properties of a class of 6pq non-abelian groups are determined based on the relevant knowledge of the congruence equations.By means of the number of endomorphisms,we verify that this class of groups satisfies the conjecture of T.Asai and T.Yoshida.

关 键 词：非交换群 自同态数量 T.Asai和T.Yoshida猜想 

分 类 号：O152.1[理学—数学]