摘要
研究了有限2-群M_(2)(2,m)的结构特征,计算了其与极大类2-群中的广义四元数群Q_(4n)之间的同态数量,并验证了这两类群满足ASAI和YOSHIDA猜想。
The number of homomorphisms between finite 2-groups M_(2)(2,m)and generalized quaternion groups Q_(4n)a kind of maximal class 2-groups,is obtained by studying the structure of M_(2)(2,m).Further,it is verified that the above groups satisfy the conjecture of ASAI and YOSHIDA.
作者
王佳俊
高百俊
WANG Jiajun;GAO Baijun(School of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang Uygur Autonomous Region,China;Institute of Applied Mathematics,Yili Normal University,Yining 835000,Xinjiang Uygur Autonomous Region,China)
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2023年第5期527-532,538,共7页
Journal of Zhejiang University（Science Edition）
基金
新疆维吾尔自治区天山青年人才项目(2020Q023)
伊犁师范大学博士科研启动项目(2020YSBS010).
