中文摘要：

设Γ（M）为有限域上二阶矩阵环的交换图,通过构造Γ（M）的压缩图并研究两图的自同构群之间的关系,完全刻画出Γ（M）的所有自同构。

英文摘要：

Let Γ（M） be the commuting graph of 2 ×2 matrix ring over a finite field. The compressed graph of Γ（M） is constructed and the relationship of the automorphism groups of these two graphs is studied, then all the automorphisms of F（M） are determined.