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ON EDGE-PRIMITIVE GRAPHS WITH SOLUBLE EDGE-STABILIZERS
Journal of the Australian Mathematical Society  (IF0.8),  Pub Date : 2021-08-06, DOI: 10.1017/s1446788721000112
HUA HAN, HONG CI LIAO, ZAI PING LU

A graph is edge-primitive if its automorphism group acts primitively on the edge set, and $2$ -arc-transitive if its automorphism group acts transitively on the set of $2$ -arcs. In this paper, we present a classification for those edge-primitive graphs that are $2$ -arc-transitive and have soluble edge-stabilizers.