This paper begins the classification of all edge-primitive 3-arc-transitive graphs by classifying all such graphs where the automorphism group is an almost simple group with socle an alternating or sporadic group, and all such graphs where the automorphism group is an almost simple classical group with a vertex-stabiliser acting faithfully on the set of neighbours.

中文翻译：

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在边原始 3 弧传递图上

本文通过对所有自同构群是一个几乎简单的群，而 socle 是一个交替或散发群的图进行分类，以及所有这些自同构群几乎是一个简单群的图，开始对所有边原始 3-弧传递图进行分类。具有顶点稳定器的经典组，忠实地作用于邻居集。