Suppose that $ G $ is a finite group and $ X=\textit {t}^{G} $ be a conjugacy class of an
elements of order 3, $\textit {t}\in G $. The A4-graph, is a simple undirected graph stand for …

Let $ t $ be an elements of order 3 in a finite simple group $\mathrm {G} $. Let $\mathrm {X}=
t^{\mathrm {G}} $ be a conjugacy class of $ t $ in $\mathrm {G} $. The A4-graph, represented …

n this paper some properties of Symmetric group 7GS on 2Xare investigated. It is shown
that Gacts transitively, primitively but not doubly transitively on 2X. The orbits of 1 …

Assume that $ X $ is a subset of the finite group $ G $. The A4-graph is known as a simple
graph denoted by $\mathcal {A} _4 (G, X) $ having $ X $ as a vertex set and two vertices $ x …

Let A be a group acting by automorphisms on the group G. The commuting graph Γ (G, A) of
A-orbits of this action is the simple graph with vertex set {x A: 1≠ x∈ G}, the set of all A …

Abstract Let\(G\) be a finite solvable group and\(\Delta\) be the subset of\(\Upsilon\times\
Upsilon\), where\(\Upsilon\) is the set of all pairs of size two commuting elements in\(G\) …

THE ORBIT GRAPH OF FINITE NON-ABELIAN GROUPS SMS Omer1 §, NH Sarmin2, A.
Erfanian3 1Department of Mathematics Faculty of S Page 1 International Journal of Pure and …

Commuting graph of 𝐴-orbits Skip to content Should you have institutional access? Here's
how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD - Dollar EN English Deutsch 0 …

Let G be a finite non-abelian solvable group and let Ω be the set of all subsets of commuting
elements of size two in G. In this paper, we define a graph which is called an orbit graph …

Let G be a (finite) group and let S be a non-empty subset of G. The vertex set of the orbit
graph O (G, S) is the collection of orbits of left translations induced by s, over all s∈ S. If u …