@article{68fc36f3b85f4eed8812ca170d0c0938,
title = "Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5",
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).",
keywords = "Almost simple groups, Arc-transitive graph, Maximal subgroups, Primitive group, Valency five, Vertex-primitive graph",
author = "Fawcett, {Joanna B.} and Michael Giudici and Li, {Cai Heng} and Praeger, {Cheryl E.} and Gordon Royle and Gabriel Verret",
year = "2018",
month = jul,
day = "1",
doi = "10.1016/j.jcta.2018.02.008",
language = "English",
volume = "157",
pages = "247--266",
journal = "Journal of Combinatorial Theory. Series A",
issn = "0097-3165",
publisher = "Academic Press",
}