Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5
Group Theory
2018-03-12 v1 Combinatorics
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 or .
Keywords
Cite
@article{arxiv.1606.02097,
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 Cai Heng Li and Cheryl E. Praeger and Gordon Royle and Gabriel Verret},
journal= {arXiv preprint arXiv:1606.02097},
year = {2018}
}