@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",

}