On isomorphisms of abelian Cayley objects of certain orders
type: Item
instance of: scholarly article
title: On isomorphisms of abelian Cayley objects of certain orders
zbMATH Open document ID: 1024.05035
DOI: 10.1016/S0012-365X(02)00808-7
author: Edward Dobson
published in: Discrete Mathematics
publication date: 2003-06-09T00:00:00Z
review text: In the paper the Cayley isomorphism problem is generalized to the class of Cayley objects. Let \(m= p_1\cdots p_r\) (\(\text{gcd}(m,\varphi(m))= 1\)) be a positive integer given by its prime power decomposition. Let \(n= p^{a_1}_1\cdots p^{a_r}_r\). The author provides a sufficient condition to reduce the Cayley isomorphism problem for Cayley objects of an abelian group of order \(n\) to the prime power case. Further considerations deal with the case of abelian groups. Corollaries on special cases of the Cayley isomorphism problem for Cayley graphs are obtained.
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05C60
zbMATH DE Number: 1924766
zbMATH Keywords: Cayley isomorphism
zbMATH Keywords: Cayley graph
zbMATH Keywords: nilpotent group
zbMATH Keywords: abelian group
zbMATH Keywords: Cayley objects
reviewed by: Ulrike Baumann
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1924766