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.
Main Authors: | , |
---|---|
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 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Summary: | 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. |
---|