Some new groups which are not CI-groups with respect to graphs
type: Item
instance of: scholarly article
title: Some new groups which are not CI-groups with respect to graphs
zbMATH Open document ID: 1380.05201
author: Ted Dobson
published in: The Electronic Journal of Combinatorics
publication date: 2018-02-22T00:00:00Z
full work available at URL: v25i1p12
review text: Summary: A group \(G\) is a CI-group with respect to graphs if two Cayley graphs of \(G\) are isomorphic if and only if they are isomorphic by a group automorphism of \(G\). We show that an infinite family of groups which include \(D_n\times F_{3p}\) are not CI-groups with respect to graphs, where \(p\) is prime, \(n \neq 10\) is relatively prime to \(3p\), \(D_n\) is the dihedral group of order \(n\), and \(F_{3p}\) is the nonabelian group of order \(3p\).
Mathematics Subject Classification ID: 05E18
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05C60
zbMATH DE Number: 6841856
zbMATH Keywords: Cayley graph
zbMATH Keywords: CI-group
zbMATH Keywords: isomorphism
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6841856