A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS

Author(s):

Seyed H. Jafari *

Abstract:
The commuting graph of a group is a graph with vertexes set of a subset of a group and two element are adjacent if they commute. The aim of this paper is to obtain the automorphism group of the commuting graph of a conjugacy class in the symmetric groups. The clique number, coloring number, independent number, and diameter of these graphs are also computed.
Keywords:

symmetric group , automorphim group , commuting graph

Language:
English
Published:
Journal of Algebraic Systems, Volume:5 Issue: 1, Summer -Autumn 2017
Pages:
85 to 90
https://www.magiran.com/p1740525