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

WU Xiao-fang

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

更新时间：2026-05-27

- On the Connected Coverings of Graph K₆ with the Voltage Group Z₄²
- Vol. 24, Issue 3, Pages: 18-20(2007)
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- Published：2007
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吴小芳. 关于电压群是Z₄²时图K₆的连通拓扑覆盖图[J]. 广东工业大学学报, 2007, 24(3): 18-20.

WU Xiao-fang. On the Connected Coverings of Graph K₆ with the Voltage Group Z₄²[J]. 2007, 24(3): 18-20.
吴小芳. 关于电压群是Z₄²时图K₆的连通拓扑覆盖图[J]. 广东工业大学学报, 2007, 24(3): 18-20. DOI：

WU Xiao-fang. On the Connected Coverings of Graph K₆ with the Voltage Group Z₄²[J]. 2007, 24(3): 18-20. DOI：

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

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.

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