一类Sylow p-子群为循环群的非交换群与模群之间的同态个数
The Number of Homomorphisms Between a Non-Comnutatire Groups with Sylow p-Subgroups as Cyclic Groups and the Modular Groups
赵山宇 1郭继东1
作者信息
- 1. 伊犁师范大学数学与统计学院,新疆伊宁 835000;伊犁师范大学应用数学研究所,新疆伊宁 835000
- 折叠
摘要
结合代数学及数论的知识,计算一类Sylow p-子群为循环群的2qpn阶群与模群之间的同态个数,并验证了 T.Asai和T.Yoshida猜想对此类群成立.
Abstract
Combining the knowledge of algebra and number theory,we calculate the number of homomorphisms between a class of Sylow p-subgroups as cyclic groups of order 2qpn and the modular groups.As an application,the conjecture of T.Asai and T.Yoshida is proved to be valid for such groups.
关键词
非交换群/模群/群同态/T.Asai和T.Yoshida猜想Key words
non-abelian group/modular group/number of homomorphisms/conjecture of T.Asai and T.Yoshida引用本文复制引用
基金项目
2022年度新疆维吾尔自治区自然科学基金项目(2022D01C334)
出版年
2024
NETL
NSTL
万方数据