Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

Joanna B. Fawcett, Michael Giudici, Cai Heng Li, Cheryl E. Praeger, Gordon Royle, Gabriel Verret

Research output: Contribution to journalArticle

5 Citations (Scopus)

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).

Original languageEnglish
Pages (from-to)247-266
Number of pages20
JournalJournal of Combinatorial Theory. Series A
Volume157
DOIs
Publication statusPublished - 1 Jul 2018

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