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 $\textit{A}{_{4}}(G,X)$, whose vertex set X and two vertices $ \textit{x, y}\in X $ are adjacent if they are different and satisfy $\textit{xy}^{-1} = \textit{yx}^{-1}$. In this article, the orbits under the action of $C_{G}(\textit{t})$ on X are analyzed, along with the description of the algebraic structure of the subgroup $<\textit{t,x}>$ such that $ \textit{x} $ is a $C_{G}(\textit{t})$ -orbit representative is provided.
Abid, W. F., Msheree, Z. H. & Abed, M. Mukheef. (2023). Description of the A4-graph for elements of order three in certain miscellaneous groups. International Journal of Nonlinear Analysis and Applications, 14(1), 1449–1455. https://doi.org/10.22075/ijnaa.2022.6963
MLA
Abid, W. F., Msheree, Z. H., & Abed, M. Mukheef. "Description of the A4-graph for elements of order three in certain miscellaneous groups", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1449–1455. doi: 10.22075/ijnaa.2022.6963
HARVARD
Abid, W. F., Msheree, Z. H., & Abed, M. Mukheef. (2023). 'Description of the A4-graph for elements of order three in certain miscellaneous groups', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1449–1455. doi: 10.22075/ijnaa.2022.6963
CHICAGO
Abid, W. F., Msheree, Z. H. & Abed, M. Mukheef, "Description of the A4-graph for elements of order three in certain miscellaneous groups." International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1449–1455, doi: 10.22075/ijnaa.2022.6963
VANCOUVER
Abid W. F., Msheree Z. H., Abed M. Mukheef. Description of the A4-graph for elements of order three in certain miscellaneous groups. IJNAA. 2023;14(1):1449–1455. doi: 10.22075/ijnaa.2022.6963
International Journal of Nonlinear Analysis and Applications