A4-Graph of Finite Simple Groups

  • Ali abd Aubad Department of Mathematics, College of Sciences, University of Baghdad, Baghdad, Iraq
Keywords: Finite simple group, exceptional groups, diameter

Abstract

 

Let G be a finite group and X be a conjugacy class of order 3 in G. In this paper, we introduce a new type of graphs, namely A4-graph of  G, as a simple graph denoted by A4(G,X) which has X as a vertex set. Two vertices,  x and y, are adjacent if and only if  x≠y and  x y-1=y x-1. General properties  of the A4-graph as well as the structure of A4(G,X) when [email protected] 3D4(2) will be studied.

Published
2021-01-30
How to Cite
Aubad, A. abd. (2021). A4-Graph of Finite Simple Groups. Iraqi Journal of Science, 62(1), 289-294. https://doi.org/10.24996/ijs.2021.62.1.27
Section
Mathematics