Commuting graph of CA−groups

Abstract A group G is called a CA−group, if all the element centralizers of G are abelian and the commuting graph of G with respect to a subset A of G, denoted by Γ(G, A), is a simple undirected graph with vertex set A and two distinct vertices a and b are adjacent if and only if ab = ba. The aim of this paper is to generalize results of a recently published paper of F. Ali, M. Salman and S. Huang [On the commuting graph of dihedral group, Comm. Algebra 44 (6) (2016) 2389-2401] to the case that G is an CA−group.

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Bibliographic Details
Main Authors: Torktaz,Mehdi, Ashrafi,Ali Reza
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2023
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172023000100001
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