The Discs Structures of A4-Graph for the Held Group

Asawer  Al-Adhami; Aliaa. Aqeel   Majeed; Ali Abd  Aubad

doi:10.24996/ijs.2022.63.8.35

Authors

Asawer Al-Adhami Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-4414-9144
Aliaa. Aqeel Majeed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0001-9694-1021
Ali Abd Aubad Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-4764-2946

DOI:

https://doi.org/10.24996/ijs.2022.63.8.35

Keywords:

Finite simple groups, A4-graph, Connectivity, Diameter

Abstract

Let G be a finite group and X be a G-conjugacy of elements of order 3. The A4-graph of G is a simple graph with vertex set X and two vertices x,yÎX are linked if x≠ y and xy^-1is an involution element. This paper aims to investigate the A4-graph properties for the monster Held group He.