On the vertex-stabiliser in arc-transitive digraphs

Authors:
Primo Potočnik;Gabriel Verret
Affiliations:
Faculty of Mathematics and Physics, University of Ljubljana, Slovenia and Institute of Mathematics, Physics, and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia;Institute of Mathematics, Physics, and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia
Venue:
Journal of Combinatorial Theory Series B
Year:
2010

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Abstract

We discuss a possible approach to the study of finite arc-transitive digraphs and prove an upper bound on the order of a vertex-stabiliser in locally cyclic arc-transitive digraphs of prime out-valence.