A4-Graph of Finite Simple Groups

Authors

  • Ali abd Aubad Department of Mathematics, College of Sciences, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.1.27

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 G@ 3D4(2) will be studied.

Downloads

Download data is not yet available.

Downloads

Published

2021-01-30

Issue

Section

Mathematics

How to Cite

A4-Graph of Finite Simple Groups. (2021). Iraqi Journal of Science, 62(1), 289-294. https://doi.org/10.24996/ijs.2021.62.1.27

Similar Articles

1-10 of 753

You may also start an advanced similarity search for this article.