摘要
基于群理论中拟二面体2-群的结构及该群元素的特征,利用代数学的基本方法,通过构造两个不同拟二面体2-群间的所有同态,得到Asai和Yoshida猜想对拟二面体2-群成立.
Based on the structure of the quasi-dihedral 2-group and the properties of its elements in group theory,we used the basic method in algebra to construct all homomorphisms from two different the quasi-dihedral 2-groups.We also got the result that conjecture of Asai and Yoshida was satisfied on the quasi-dihedral 2-group.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2017年第6期1473-1476,共4页
Journal of Jilin University:Science Edition
基金
山东省自然科学基金(批准号:ZR2016AM21)
关键词
拟二面体2-群
群同态
换位子群
quasi-dihedral 2-group
homomorphism
commutator subgroup