Authors : Suzila Mohd Kasim, Athirah Nawawi, Sharifah Kartini Said Husain and Siti Nur Iqmal Ibrahim
Abstract: Suppose G is a finite group and X is a subset of G. The commuting graph on the set X, C (G, X) whose vertex set X with any two vertices connected by an edge, if and only if they commute. In this study, we consider as the Mathieu groups, symplectic groups, together with their automorphism groups and are conjugacy classes of involutions. Let tεX, here, we investigate the orbits under the action of CG(t) from a fixed G vertex t and describe the group theoretic structure of (t, x) where x is a CG(t) orbit representative.
Suzila Mohd Kasim, Athirah Nawawi, Sharifah Kartini Said Husain and Siti Nur Iqmal Ibrahim, 2019. The Disc Structures of Commuting Involution Graphs for Certain Simple Groups. Journal of Engineering and Applied Sciences, 14: 4583-4589.