Suborbital Graphs and their Properties for ordered Triples in An (n = 5, 6, 7) Through Rank and Subdegree Determination

Abstract

In this paper, through computation of the rank and subdegrees of alternating group An (n-5,6,7) on ordered triples we construct the suborbital graphs corresponding to the suborbits of these triples. When An(n ≥ 5) acts on ordered pairs the suborbital graphs corresponding to the non-trivial suborbits are found to be disconnected. Further, we investigate properties of the suborbital graphs constructed.