Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5.
File(s)PrimitiveSubdegree5PostRefereeNoColors.pdf (443.39 KB)
Accepted version
Author(s)
Type
Journal Article
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 .
Date Issued
2018-03-07
Date Acceptance
2018-02-24
Citation
Journal of Combinatorial Theory, Series A, 2018, 157, pp.247-266
ISSN
0097-3165
Publisher
Elsevier
Start Page
247
End Page
266
Journal / Book Title
Journal of Combinatorial Theory, Series A
Volume
157
Copyright Statement
© 2018 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
0101 Pure Mathematics
Computation Theory & Mathematics