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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 Authors: Abd. Manaf, F. N., Sarmin, N. H., Mohd. Ali, N. M., Erfanian, A., Ghouchan, M. F. D.
Format: Conference or Workshop Item
Published: 2013
Subjects:
TK Electrical engineering. Electronics Nuclear engineering
Online Access:http://eprints.utm.my/id/eprint/50856/
http://dx.doi.org/10.1063/1.4801212
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spelling my.utm.508562017-09-14T06:48:42Z http://eprints.utm.my/id/eprint/50856/ A general case of the commutativity degree of nilpotent p-groups of class two Abd. Manaf, F. N. Sarmin, N. H. Mohd. Ali, N. M. Erfanian, A. Ghouchan, M. F. D. TK Electrical engineering. Electronics Nuclear engineering 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. 2013 Conference or Workshop Item PeerReviewed Abd. Manaf, F. N. and Sarmin, N. H. and Mohd. Ali, N. M. and Erfanian, A. and Ghouchan, M. F. D. (2013) A general case of the commutativity degree of nilpotent p-groups of class two. In: Proceedings Of The 20th National Symposium On Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, PTS A And B. 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 TK Electrical engineering. Electronics Nuclear engineering
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Abd. Manaf, F. N.
Sarmin, N. H.
Mohd. Ali, N. M.
Erfanian, A.
Ghouchan, M. F. D.
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 Abd. Manaf, F. N.
Sarmin, N. H.
Mohd. Ali, N. M.
Erfanian, A.
Ghouchan, M. F. D.
author_facet Abd. Manaf, F. N.
Sarmin, N. H.
Mohd. Ali, N. M.
Erfanian, A.
Ghouchan, M. F. D.
author_sort Abd. Manaf, F. N.
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 2013
url http://eprints.utm.my/id/eprint/50856/
http://dx.doi.org/10.1063/1.4801212
_version_ 1643652866061107200
score 13.160551

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