摘要
设Fq是一个含有q个元素的有限域,AG(n,Fq)是Fq上的n维仿射空间,Γ是由AG(n,Fq)中的仿射线诱导的图.对于Γ的任一个顶点α,次成分Γ(α)被研究。这里特别指出:Γ(α)是正则图当且仅当n=2.
Let Fq be a Iinite field with q elements, and AG(n,Fq) be the n-dimensional affine space over Fq The subconstituent Γ(a) of the graph Γ induced by lines of AG(n,Fq) is studied for any vertex a of Γ. In particular, it is shown that Γ(a) is regular if and only if n =2.
出处
《湖南理工学院学报(自然科学版)》
CAS
2006年第4期7-10,共4页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
基金
湖南省自然科学基金资助项目(04JJ40007)
关键词
仿射空间
仿射面
仿射群
正则图
次成分
affine space
affine flat
affine group: regular graph
subconstituent