Bounding s for vertex-primitive s-arc-transitive digraphs of alternating and symmetric groupsChen, Junyan (Avtor) Chen, Lei (Avtor) Giudici, Michael (Avtor) Li, Jing Jian (Avtor) Praeger, Cheryl E. (Avtor) Xia, Binzhou (Avtor) digraphvertex-primitives-arc-transitivealternating groupsymmetric groupDetermining an upper bound on s for finite vertex-primitive s-arc-transitive digraphs has received considerable attention dating back to a question of Praeger in 1990. It was shown by Giudici and Xia that the smallest upper bound on s is attained for some digraph admitting an almost simple s-arc-transitive group. In this paper, based on the work of Pan, Wu and Yin, we prove that s<=2 in the case where the group is an alternating or symmetric group.Založba Univerze na Primorskem20252025-10-22 21:17:52Članek v reviji22015UDK: 51eISSN: 1855-3974DOI: https://doi.org/10.26493/1855-3974.3325.5e3sl