一类6p^(2)阶群的自同态与自同构数量  

The Number of Endomorphisms and Automorphisms of A Class of Groups with Order 6Ρ^(2)

作　　者：鲁子怡 高百俊 Lu Ziyi;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）》2024年第1期8-13,共6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：结合一次同余方程的相关知识,研究了一类三元生成的6p^(2)阶非交换群的元素性质及自同态和自同构,计算了其自同态和自同构数量,验证其自同态数量是满足T.Asai和T.Yoshida的猜想的.Combined with the relevant knowledge of linear congruence equation,the element properties,endomorphisms and automorphisms of a class of ternary generated non-abelian groups with 6Ρ^(2)order are studied.The number of end-omorphisms and automorphisms is calculated,and it is verified that the number of endomorphisms satisfies the conjecture of T.Asai and T.Yoshida.

关 键 词：自同态数量 自同构数量 一次同余方程 

分 类 号：O152.6[理学—数学]