On edge-primitive graphs with soluble edge-stabilizers

2019/06/22 by Han, Huan, Liao, Hong Ci, Lu, Zai Ping
#05C25 #20B25 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1906.09414

Abstract

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 which are 2-arc-transitive and have soluble edge-stabilizers.

Related

• On edge-primitive and 2-arc-transitive graphs
• On edge-primitive 3-arc-transitive graphs
• The finite primitive groups with soluble stabilizers, and the edge-primitive s-arc transitive graphs
• On the automorphism groups of graphs with twice prime valency
• Primitive decompositions of Johnson graphs