Title of article :
Studying the A4-Graphs for elements of order 3 in tits group T and Mathieu group M20
Author/Authors :
Hasan Msheree, Zainab Technical Instructors Training Institute - Middle Technical University, Iraq , Mukheef Abed, Mohammed Technical Instructors Training Institute - Middle Technical University, Iraq , Fadhel Abid, Wissam Institute of Technology - Middle Technical University, Baghdad, Iraq
Abstract :
Assume that X is a subset of the finite group G. The A4-graph is known as a simple graph denoted by A4(G,X) having X as a vertex set and two vertices x,y∈X, is linked by an edges if x≠y and xy−1=yx−1. In this paper, we consider A4(G,X) when G is either Tits group T or Mathieu group M20 and X is G-conjugacy class of elements of order three. Valuable results reached, for example, disc structure, girth, clique number, and diameters of the A4-graph.
Keywords :
Finite simple groups , A4-graph , connectivity , cliques
Journal title :
International Journal of Nonlinear Analysis and Applications
