容许二维线性群作用点本原的二弧传递图

Finite Vertex Primitive 2-arc Transitive Graphs Admitting a Two-dimensional Linear Group

一个图称为本原的如果它的自同构群作用在点集上是本原的.在这篇文章里,我们不但完全分类了容许一类二维线性群作用点本原的2-弧传递图,而且决定了他们的自同构群,并在同构意义下决定了它们的个数.

A graph is said to be primitive if its automorphism group is primitive on the vertex set. In this paper, we not only classify completely vertex primitive 2-arc transitive graphs admitting a two-dimensional linear group, but also we determine the automorphism groups and the number of non-isomorphic ones of such graphs.