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The centralizer graph of finite non-abelian groups

Omer, S. M. S. and Sarmin, Nor Haniza (2014) The centralizer graph of finite non-abelian groups. Global Journal of Pure and Applied Mathematics, 10 (4). pp. 529-534. ISSN 0973-1768

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Official URL: http://science.utm.my/nizasarmin/files/2015/03/The...

Abstract

Let G be a finite non-abelian group. In this paper, we introduce a new graph called the centralizer graph, denoted as Γcent. The vertices of this graph are proper centralizers in which two vertices are adjacent if their cardinalities are identical. The centralizer graph of dihedral groups, quaternion groups and dicyclic groups is found.

Item Type:Article
Uncontrolled Keywords:graph of dihedral, centralizer graph
Subjects:T Technology > TP Chemical technology
Divisions:Science
ID Code:62850
Deposited By: Fazli Masari
Deposited On:19 Jun 2017 00:44
Last Modified:19 Jun 2017 00:44

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