Analysing the structure of A4-graphs for Mathieu groups

摘要

For a finite simple group G and G-conjugacy class of elements of order 3, X. The A4-graph is defined as a simple graph denoted by A4(G, X) possess the vertex set X and x, y is an element of X are adjacent, if and only if x not equal y and xy-1 = yx-1. In this paper, we investigate the structure of A4(G, X) when G is one of the Mathieu groups.