Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5
@article{Fawcett2018PrimitivePG, title={Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5}, author={Joanna B. Fawcett and Michael Giudici and C. Li and C. Praeger and G. Royle and G. Verret}, journal={J. Comb. Theory, Ser. A}, year={2018}, volume={157}, pages={247-266} }
Abstract We classify finite primitive permutation groups having a suborbit of length 5. As a corollary, we obtain a classification of finite vertex-primitive graphs of valency 5. In the process, we also classify finite almost simple groups that have a maximal subgroup isomorphic to Alt ( 5 ) or Sym ( 5 ) .
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