摘要
利用群论中同态与反同态的定义及其性质,研究两个群之间同态个数与反同态个数的关系,从而得到T.Asai&T.Yoshida猜想的一个等价命题.
By using the definition and properties of homomorphism and anti-homomorphism in group theory,the relationship between the number of homomorphisms and the number of anti-homomorphisms between two groups is studied,and an equivalent porposition of Conjecture of T.Asai&T.Yoshida is obtained.
作者
谢伟
郭继东
XieWei;Guo Jidong(College of Mathematics and Statistic,Yili Normal University,Yining,Xinjiang 835000,China)
出处
《伊犁师范学院学报(自然科学版)》
2020年第1期14-16,共3页
Journal of Yili Normal University:Natural Science Edition
基金
新疆维吾尔自治区自然科学青年项目(XJEDU2019Y045).