The squared Commutativity degree of dihedral groups

The commutativity degree of a finite group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a rando...

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Main Authors: Hamid, M. A., Ali, N. M. M., Sarmin, N. H., Erfanian, A., Manaf, F. N. A.
Format: Article
Language:English
Published: Penerbit UTM Press 2016
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Online Access:http://eprints.utm.my/id/eprint/74493/1/MuhanizahAbdulHamid2016_TheSquaredCommutativityDegree.pdf
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spelling my.utm.744932017-11-28T05:01:12Z http://eprints.utm.my/id/eprint/74493/ The squared Commutativity degree of dihedral groups Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. Manaf, F. N. A. QA Mathematics The commutativity degree of a finite group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a random pair of elements in the group commute. In this paper, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 2, called the squared commutativity degree. Penerbit UTM Press 2016 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/74493/1/MuhanizahAbdulHamid2016_TheSquaredCommutativityDegree.pdf Hamid, M. A. and Ali, N. M. M. and Sarmin, N. H. and Erfanian, A. and Manaf, F. N. A. (2016) The squared Commutativity degree of dihedral groups. Jurnal Teknologi, 78 (3-2). pp. 45-49. ISSN 0127-9696 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962615525&doi=10.11113%2fjt.v78.7811&partnerID=40&md5=53af64f2843029027ecbff0c9917dd90
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/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Hamid, M. A.
Ali, N. M. M.
Sarmin, N. H.
Erfanian, A.
Manaf, F. N. A.
The squared Commutativity degree of dihedral groups
description The commutativity degree of a finite group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a random pair of elements in the group commute. In this paper, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 2, called the squared commutativity degree.
format Article
author Hamid, M. A.
Ali, N. M. M.
Sarmin, N. H.
Erfanian, A.
Manaf, F. N. A.
author_facet Hamid, M. A.
Ali, N. M. M.
Sarmin, N. H.
Erfanian, A.
Manaf, F. N. A.
author_sort Hamid, M. A.
title The squared Commutativity degree of dihedral groups
title_short The squared Commutativity degree of dihedral groups
title_full The squared Commutativity degree of dihedral groups
title_fullStr The squared Commutativity degree of dihedral groups
title_full_unstemmed The squared Commutativity degree of dihedral groups
title_sort squared commutativity degree of dihedral groups
publisher Penerbit UTM Press
publishDate 2016
url http://eprints.utm.my/id/eprint/74493/1/MuhanizahAbdulHamid2016_TheSquaredCommutativityDegree.pdf
http://eprints.utm.my/id/eprint/74493/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962615525&doi=10.11113%2fjt.v78.7811&partnerID=40&md5=53af64f2843029027ecbff0c9917dd90
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score 13.160551