On arc-transitive metacyclic covers of graphs with order twice a prime
type: Item
instance of: scholarly article
title: On arc-transitive metacyclic covers of graphs with order twice a prime
zbMATH Open document ID: 1498.20005
author: Zhaohong Huang
author: Jiangmin Pan
published in: The Electronic Journal of Combinatorics
publication date: 2018-08-15T00:00:00Z
full work available at URL: v25i3p9
review text: Summary: Quite a lot of attention has been paid recently to the characterization and construction of edge- or arc-transitive abelian (mostly cyclic or elementary abelian) covers of symmetric graphs, but there are rare results for nonabelian covers since the voltage graph techniques are generally not easy to be used in this case. In this paper, we will classify certain metacyclic arc-transitive covers of all non-complete symmetric graphs with prime valency and twice a prime order \(2p\) (involving the complete bipartite graph \(\mathsf{K}_{p,p}\), the Petersen graph, the Heawood graph, the Hadamard design on \(22\) points and an infinite family of prime-valent arc-regular graphs of dihedral groups). A few previous results are extended.
Mathematics Subject Classification ID: 20B15
Mathematics Subject Classification ID: 20B30
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 6918066
zbMATH Keywords: metacyclic cover
zbMATH Keywords: normal quotient graph
zbMATH Keywords: group extension
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6918066