PSL(2,13)的最小级连通3度弧传递陪集图表示

The graphical representations of connected cubic arc-transitive coset graphs of minimum degree on PSL(2,13)

通过寻找给定群G的图表示,对PSL(2,13)的连通3度弧传递陪集图表示进行研究,得到了如下结果:PSL(2,13)的最小级连通3度弧传递陪集图表示的级是182.并且给出了该陪集图表示的例子.

This paper studies the graphical representations of connected cubic arc-transitive coset graphs onPSL（2, 13） based on the graphical representations of given group G. The following result is proved. PSL（2, 13）has the minimum degree 182 of connected cubic arc-transitive coset graphical representations. The example ofthe coset graphical representations is given.