Study The Result Involution Graph For The Janko Group J4

Abstract

Consider a finite group G, and define I(G) as a collection of the involution elements in G. The simple undirected graph with vertex set being the elements of G with two vertices x, y ∈ G are adjacent if x ≠ y and xy in I(G), is called the result involution graph and denoted by $Gamm RI_G$. In this work, we investigate the structure of the result involution graphs for the Janko groups J4 to obtain certain number of graph attributes.

Keywords

• Janko groups, Result Involution Graph, Connectedness, Girth.