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The precise value of commutativity degree in some finite groups

Moradipour, Kayvan and Sarmin, Nor Haniza and Erfanian, Ahmad (2012) The precise value of commutativity degree in some finite groups. Malaysian Journal of Fundamental and Applied Sciences (MJFAS), 8 (2). pp. 67-72. ISSN 1823-626X

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Official URL: http://mjfas.ibnusina.utm.my/index.php/jfs/article...

Abstract

The commutativity degree of a finite group G, denoted by P(G), is the probability that a selected chosen pair of elements of G commute. The object of this paper is to compute a precise value of commutativity degree of some finite metacyclic p-groups of class at least 3. In particular, we describe the commutativity degree of these groups in split and non-split case.

Item Type:Article
Additional Information:UTM Open Access Journal
Uncontrolled Keywords:commutativity degree, nilpotency class, conjugacy class, metacyclic group
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:29097
Deposited By: Nurain Sulaiman
Deposited On:13 Mar 2013 03:43
Last Modified:13 Mar 2013 03:43

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