Automorphisms of the commuting graph over 2×2 matrix ring

ZHOU Jinming

doi:10.13471/j.cnki.acta.snus.2016.01.007

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Automorphisms of the commuting graph over 2×2 matrix ring

更新时间：2023-12-11

- Automorphisms of the commuting graph over 2×2 matrix ring
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 55, Issue 1, Pages: 39-43(2016)
- 作者机构：
  
  1. 中国矿业大学理学院,江苏,徐州,221116
  2. 
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2016.01.007
  CLC：
- Published：2016，
  
  Published Online：25 January 2016，
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ZHOU Jinming. Automorphisms of the commuting graph over 2×2 matrix ring. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(1):39-43(2016)
DOI：

ZHOU Jinming. Automorphisms of the commuting graph over 2×2 matrix ring. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(1):39-43(2016) DOI： 10.13471/j.cnki.acta.snus.2016.01.007.

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。

Abstract

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 Γ(M) are determined.

关键词

矩阵环非交换环交换图自同构

Keywords

matrix ringsnoncommutative ringscommuting graphsautomorphisms

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