Title : ( The Precise Value of Commutativity Degree in Some Finite Groups )
Authors: Kayvan Moradipour , Nor Haniza Sarmin , Ahmad Erfanian ,
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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.
Keywords
, |Commutativity degree , Nilpotency class , Conjugacy class , Metacyclic group
@article{paperid:1032687,
author = {Kayvan Moradipour and Nor Haniza Sarmin and Erfanian, Ahmad},
title = {The Precise Value of Commutativity Degree in Some Finite Groups},
journal = {Malaysian Journal of Fundamental & Applied Sciences},
year = {2012},
volume = {8},
number = {2},
month = {March},
issn = {1823-626X},
pages = {67--72},
numpages = {5},
keywords = {|Commutativity degree ; Nilpotency class ; Conjugacy class ; Metacyclic group},
}
%0 Journal Article
%T The Precise Value of Commutativity Degree in Some Finite Groups
%A Kayvan Moradipour
%A Nor Haniza Sarmin
%A Erfanian, Ahmad
%J Malaysian Journal of Fundamental & Applied Sciences
%@ 1823-626X
%D 2012
