论文标题
一维仿射等级的分类三个图
A classification of one dimensional affine rank three graphs
论文作者
论文摘要
Foulser和Kallaher在1978年将一维仿射组的三个亚组分类为有限领域。尽管人们可以将其结果用于对相应等级的三个图的分类，但作者在文献中没有找到这样的分类。本说明的目的是提出这样的分类。事实证明，图形分类比第一组要简单得多。更确切地说，表明标题中的图是Paley图，也可以是Van Lint和Schrijver构建的图形之一，或者是Peisert构建的。我们的方法基于基础群体理论，不使用等级三个仿射组的分类。
The rank three subgroups of a one-dimensional affine group over a finite field were classified in 1978 by Foulser and Kallaher. Although one can use their results for a classification of corresponding rank three graphs, the author did not find such a classification in a literature. The goal of this note is to present such a classification. It turned out that graph classification is much simpler than the group one. More precisely, it is shown that the graphs in the title are either the Paley graphs or one of the graphs constructed by Van Lint and Schrijver or by Peisert. Our approach is based on elementary group theory and does not use the classification of rank three affine groups.
