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Li, Cai Heng; Seress, Ákos; Song, Shu Jiao
Journal of algebra, 01/2015, Letnik: 421Journal Article
We study s-arc-transitive graphs with s⩾2, and give a characterisation of the actions of vertex-transitive normal subgroups. An interesting consequence of this characterisation states that each non-bipartite 3-arc-transitive graph is a normal cover of a 2-arc-transitive graph admitting a simple group, or a locally primitive graph admitting a simple group with a soluble vertex stabiliser.
