Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903755 | Journal of Combinatorial Theory, Series A | 2018 | 20 Pages |
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).
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Joanna B. Fawcett, Michael Giudici, Cai Heng Li, Cheryl E. Praeger, Gordon Royle, Gabriel Verret,