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

Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:

JR_IJNAA-12-2_142

Index date: 2 December 2022

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

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.

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

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

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Middle Technical University, Technical Instructors Training Institute, Iraq

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Middle Technical University, Technical Instructors Training Institute, Iraq

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Middle Technical University, Institute of Technology, Baghdad, Iraq