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A general case of the commutativity degree of nilpotent p-groups of class two

Given a finite group, the commutativity degree of the group is defined as the probability that two elements of the group, chosen randomly with replacement, commute. The commutativity degree can be considered as a special case of a more general probability which is the probability that the commutator...

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Main Author: Sarmin, Nor Haniza
Format: Conference or Workshop Item
Published: 2012
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://eprints.utm.my/id/eprint/36323/
http://dx.doi.org/10.1063/1.4801212
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spelling my.utm.363232017-08-27T10:55:24Z http://eprints.utm.my/id/eprint/36323/ A general case of the commutativity degree of nilpotent p-groups of class two Sarmin, Nor Haniza QA75 Electronic computers. Computer science Given a finite group, the commutativity degree of the group is defined as the probability that two elements of the group, chosen randomly with replacement, commute. The commutativity degree can be considered as a special case of a more general probability which is the probability that the commutator of two group elements is equal to a given element in the group. This research focuses on the finite p-groups of nilpotency class two. Some basic concepts and results on the general case of the commutativity degree are presented. 2012 Conference or Workshop Item PeerReviewed Sarmin, Nor Haniza (2012) A general case of the commutativity degree of nilpotent p-groups of class two. In: International Science Postgraduate Conference 2012, 27-30 November 2012, Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia. http://dx.doi.org/10.1063/1.4801212
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Sarmin, Nor Haniza
A general case of the commutativity degree of nilpotent p-groups of class two
description Given a finite group, the commutativity degree of the group is defined as the probability that two elements of the group, chosen randomly with replacement, commute. The commutativity degree can be considered as a special case of a more general probability which is the probability that the commutator of two group elements is equal to a given element in the group. This research focuses on the finite p-groups of nilpotency class two. Some basic concepts and results on the general case of the commutativity degree are presented.
format Conference or Workshop Item
author Sarmin, Nor Haniza
author_facet Sarmin, Nor Haniza
author_sort Sarmin, Nor Haniza
title A general case of the commutativity degree of nilpotent p-groups of class two
title_short A general case of the commutativity degree of nilpotent p-groups of class two
title_full A general case of the commutativity degree of nilpotent p-groups of class two
title_fullStr A general case of the commutativity degree of nilpotent p-groups of class two
title_full_unstemmed A general case of the commutativity degree of nilpotent p-groups of class two
title_sort general case of the commutativity degree of nilpotent p-groups of class two
publishDate 2012
url http://eprints.utm.my/id/eprint/36323/
http://dx.doi.org/10.1063/1.4801212
_version_ 1643649952892583936
score 13.211869

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