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Abstract
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Article Information:
Finite Groups with the Same Commuting Probability
K. Moradipour, N.H. Sarmin and A. Erfanian
Corresponding Author: N.H. Sarmin
Submitted: June 19, 2012
Accepted: July 04, 2012
Published: April 15, 2013 |
Abstract:
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Let G be a finite group. The commutativity degree of G, denoted byPr (G), is the probability that a randomly selected pairs of elements of the group commute. In this study we give an explicit formula for the number of conjugacy classes and commutativity degree of some finite non-abelian groups. In particular, we describe the commutativity degree of these groups both in the split and non-split case.
Key words: Class equation, commutativity degree, conjugacy class, , , ,
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Cite this Reference:
K. Moradipour, N.H. Sarmin and A. Erfanian, . Finite Groups with the Same Commuting Probability. Research Journal of Applied Sciences, Engineering and Technology, (13): 3525-3528.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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