On edge-transitive graphs of square-free order
type: Item
instance of: scholarly article
title: On edge-transitive graphs of square-free order
zbMATH Open document ID: 1327.05146
author: Cai Heng Li
author: Zai Ping Lu
author: Gai Xia Wang
published in: The Electronic Journal of Combinatorics
publication date: 2015-08-27T00:00:00Z
full work available at URL: v22i3p25
review text: Summary: We study the class of edge-transitive graphs of square-free order and valency at most \(k\). It is shown that, except for a few special families of graphs, only finitely many members in this class are \textit{basic} (namely, not a normal multicover of another member). Using this result, we determine the automorphism groups of locally primitive arc-transitive graphs with square-free order.
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 6476279
zbMATH Keywords: edge-transitive graph
zbMATH Keywords: arc-transitive graph
zbMATH Keywords: stabilizer
zbMATH Keywords: quasiprimitive permutation group
zbMATH Keywords: almost simple group
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6476279