广东工业大学学报 ›› 2007, Vol. 24 ›› Issue (03): 18-20.

• 综合研究 • 上一篇    下一篇

关于电压群是Z42时图K6的连通拓扑覆盖图

  

  1. 广东工业大学应用数学学院 广东广州510006；
  • 出版日期:2007-08-10 发布日期:2007-08-10

On the Connected Coverings of Graph K6 with the Voltage Group Z42

  1.  (Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China)
  • Online:2007-08-10 Published:2007-08-10

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摘要： 讨论了图K6的电压群为224的连通拓扑覆盖图,发现图K6没有具有以下条件的连通正则拓扑覆盖图:拓扑覆盖传递群同构于224;保持束不变自同构子群G2-弧传递的作用于图Γ~. 更多还原

关键词: 拓扑覆盖图； 电压群； 2-弧传递性；

Abstract: A new method is used to discuss the connected coverings of graph K6 with the voltage group Z42,and we find that there are no 2-transitive regular connected coverings of K6 satisfying the following two conditions:the covering transformation group is isomorphic to Z42,andthe fibre-preserving automorphism subgroup acts 2-arc-transitively on the graph Γ~=Γ×A.

Key words: covering； voltage group； 2-transitive；

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[3] Shao-Fei Du Jin Ho Kwak and Ming-Yao Xu.Linear criteria for lifting automorphisms of elementary abelian regular coverings. Linear Algebra and Its Applications . 2003
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