摘要
基于群理论中中心二面体群与二面体群的群结构以及元素的性质,利用代数学及数论的相关理论,计算中心二面体群与二面体群之间的同态个数。作为应用,验证了T.Asai&T.Yoshida猜想对此类群成立。
Based on the group structure and element properties of central-dihedral group and dihedral group in group theory,the number of homomorphisms between central-dihedral group and dihedral group is calculated by using the related theories of algebra and number theory.As an application,the conjecture of T.Asai&T.Yoshida is proved to be valid for such groups.
作者
谢伟
郭继东
XIE Wei;GUO Ji-dong(College of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2020年第8期80-86,共7页
Journal of Shandong University(Natural Science)
基金
新疆维吾尔自治区高校科研计划自然科学重点项目(XJEDU2020I018)。
