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}
}
  • Joanna B. Fawcett, Michael Giudici, +3 authors G. Verret
  • Published 2018
  • Mathematics, Computer Science
  • J. Comb. Theory, Ser. A
  • 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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