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  • On primitive 2-closed permu...
    Giudici, Michael; Morgan, Luke; Zhou, Jin-Xin

    Journal of combinatorial theory. Series B, January 2023, 2023-01-00, Letnik: 158
    Journal Article

    We characterise the primitive 2-closed groups G of rank at most four that are not the automorphism group of a graph or digraph and show that if the degree is at least 2402 then there are just two infinite families or G⩽AΓL1(pd), the 1-dimensional affine semilinear group. These are the first known examples of non-regular 2-closed groups that are not the automorphism group of a graph or digraph.