S-Arc-transitive graphs and normal subgroups

Cai-Heng Li, A. Seress, Shu-Jiao Song

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    13 Citations (Scopus)
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    © 2014 Elsevier Inc. 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.
    Original languageEnglish
    Pages (from-to)331-348
    Number of pages18
    JournalJournal of Algebra
    Publication statusPublished - 1 Jan 2015


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