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

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Title: Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5.
Authors: Fawcett, JB
Giudici, M
Li, CH
Praeger, CE
Royle, G
Verret, G
Item 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 .
Issue Date: 7-Mar-2018
Date of Acceptance: 24-Feb-2018
URI: http://hdl.handle.net/10044/1/58777
DOI: https://dx.doi.org/10.1016/j.jcta.2018.02.008
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/
Keywords: 0101 Pure Mathematics
Computation Theory & Mathematics
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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