pm阶模群到一类4q^(2)阶非交换群间的同态个数  

The Numeber of Homomorphisms between pm-Order Modular Group and a Class of 4q^(2)-Order Non-Abelian Group

作　　者：陈春良 张良 CHEN Chun-liang;ZHANG Liang(College of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000

出　　处：《喀什大学学报》2024年第6期14-17,共4页Journal of Kashi University

基　　金：伊犁州科技计划项目“亚循环群到有限群同态个数的计算”(YZ2022D004).

摘　　要：利用群元素的生成关系,计算了p^(m)阶模群到4q^(2)阶非交换群的同态个数,并通过实例验证了同态个数满足T.Asai和T.Yoshida猜想的同余关系式.Utilizing the generative relationships of group Elements and calculated the number of homomorphisms from a class of p^(m)-order modular groups is calulated.As an application,the number of homomorphisms satisfies the congruence relationship of T.Asai and T.Yoshida conjecture.

关 键 词：4q^(2)阶非交换群 模群 群同态 

分 类 号：O152.1[理学—数学]