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The cubed commutativity degree of dihedral groups

Let G be a finite group. The commutativity degree of a 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-t...

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Main Authors: Hamid, M. A., Ali, N. M. M., Sarmin, N. H., Erfanian, A.
Format: Conference or Workshop Item
Published: American Institute of Physics Inc. 2016
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/73228/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984578407&doi=10.1063%2f1.4954592&partnerID=40&md5=ab7e07e5f66cdfc37d502a5766ced408
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spelling my.utm.732282017-11-26T03:37:05Z http://eprints.utm.my/id/eprint/73228/ The cubed commutativity degree of dihedral groups Hamid, M. A. Ali, N. M. M. Sarmin, N. H. Erfanian, A. QA Mathematics Let G be a finite group. The commutativity degree of a 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 research, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 3, called the cubed commutativity degree. American Institute of Physics Inc. 2016 Conference or Workshop Item PeerReviewed Hamid, M. A. and Ali, N. M. M. and Sarmin, N. H. and Erfanian, A. (2016) The cubed commutativity degree of dihedral groups. In: 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, 24 November 2015 through 26 November 2015, Johor Bahru; Malaysia. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984578407&doi=10.1063%2f1.4954592&partnerID=40&md5=ab7e07e5f66cdfc37d502a5766ced408
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 QA Mathematics
spellingShingle QA Mathematics
Hamid, M. A.
Ali, N. M. M.
Sarmin, N. H.
Erfanian, A.
The cubed commutativity degree of dihedral groups
description Let G be a finite group. The commutativity degree of a 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 research, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 3, called the cubed commutativity degree.
format Conference or Workshop Item
author Hamid, M. A.
Ali, N. M. M.
Sarmin, N. H.
Erfanian, A.
author_facet Hamid, M. A.
Ali, N. M. M.
Sarmin, N. H.
Erfanian, A.
author_sort Hamid, M. A.
title The cubed commutativity degree of dihedral groups
title_short The cubed commutativity degree of dihedral groups
title_full The cubed commutativity degree of dihedral groups
title_fullStr The cubed commutativity degree of dihedral groups
title_full_unstemmed The cubed commutativity degree of dihedral groups
title_sort cubed commutativity degree of dihedral groups
publisher American Institute of Physics Inc.
publishDate 2016
url http://eprints.utm.my/id/eprint/73228/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984578407&doi=10.1063%2f1.4954592&partnerID=40&md5=ab7e07e5f66cdfc37d502a5766ced408
_version_ 1643656609319092224
score 13.201949

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