On a lower bound of commutativity degree

The commutativity degree of a finite group G , denoted by Pr (G) , is the probability that a randomly chosen pair of elements of G commute. The object of this paper is to derive a lower bound for Pr( G) and study some of its consequences towards characterizing G .

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2010-04, Vol.59 (1), p.137-142
Main Authors: Nath, Rajat Kanti, Das, Ashish Kumar
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
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Summary:The commutativity degree of a finite group G , denoted by Pr (G) , is the probability that a randomly chosen pair of elements of G commute. The object of this paper is to derive a lower bound for Pr( G) and study some of its consequences towards characterizing G .
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-010-0010-6