Inclusions of Innately Transitive Groups into Wreath Products in Product Action with Applications to 2-arc-transitive Graphs
نویسندگان
چکیده
We study (G, 2)-arc-transitive graphs for innately transitive permutation groups G such that G can be embedded into a wreath product SymΓwr Sl acting in product action on Γ. We find two such connected graphs: the first is Sylvester’s double six graph with 36 vertices, while the second is a graph with 120 vertices whose automorphism group is Aut Sp(4, 4). We prove that under certain conditions no more such graphs exist.
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