Studying the A4-Graphs for elements of order 3 in tits group T and Mathieu group M20

	Studying the A4-Graphs for elements of order 3 in tits group T and Mathieu group M20
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 1855-1860 اصل مقاله (401.36 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5321
نویسندگان
Zainab Hasan Msheree^* ¹؛ Mohammed Mukheef Abed¹؛ Wissam Fadhel Abid²
¹Middle Technical University, Technical Instructors Training Institute, Iraq
²Middle Technical University, Institute of Technology, Baghdad, Iraq
چکیده
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, y \in X,$ is linked by an edges if $ x\neq y $ and $ {xy}^{-1} = {yx}^{-1} $. In this paper, we consider $ \mathcal{A}_4 (G, X) $ when $G$ is either Tits group T or Mathieu group $M_{20}$ and $X$ is $G$-conjugacy class of elements of order three. Valuable results reached, for example, disc structure, girth, clique number, and diameters of the A4-graph.
کلیدواژه‌ها
Finite simple groups؛ A4-graph؛ connectivity؛ cliques
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