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An alternative technique for computing the commutativity degree of dihedral groups

Let G be a finite dihedral group Dn. The probability that two random elements commute is called the commutativity degree and it is denoted by P(G). Another technique is used to compute the commutativity is using centralizers. The main purpose of this paper is to construct some upper bounds for the c...

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Main Authors: Omer, Sanaa Mohamed Saleh, Sarmin, Nor Haniza, Erfanian, Ahmad, Moradipour, Kayvan
Format: Article
Published: CESER Publications 2013
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/50475/
http://www.ceser.in/ceserp/index.php/ijts/article/view/997
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spelling my.utm.504752018-10-21T04:33:26Z http://eprints.utm.my/id/eprint/50475/ An alternative technique for computing the commutativity degree of dihedral groups Omer, Sanaa Mohamed Saleh Sarmin, Nor Haniza Erfanian, Ahmad Moradipour, Kayvan QA Mathematics Let G be a finite dihedral group Dn. The probability that two random elements commute is called the commutativity degree and it is denoted by P(G). Another technique is used to compute the commutativity is using centralizers. The main purpose of this paper is to construct some upper bounds for the commutativity degree in terms of centralizers for the dihedral group, where the dihedral group acts on itself by conjugation CESER Publications 2013 Article PeerReviewed Omer, Sanaa Mohamed Saleh and Sarmin, Nor Haniza and Erfanian, Ahmad and Moradipour, Kayvan (2013) An alternative technique for computing the commutativity degree of dihedral groups. International Journal of Applied Mathematics and Statistics, 44 (14). pp. 64-71. ISSN 0973-1377 http://www.ceser.in/ceserp/index.php/ijts/article/view/997
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
Omer, Sanaa Mohamed Saleh
Sarmin, Nor Haniza
Erfanian, Ahmad
Moradipour, Kayvan
An alternative technique for computing the commutativity degree of dihedral groups
description Let G be a finite dihedral group Dn. The probability that two random elements commute is called the commutativity degree and it is denoted by P(G). Another technique is used to compute the commutativity is using centralizers. The main purpose of this paper is to construct some upper bounds for the commutativity degree in terms of centralizers for the dihedral group, where the dihedral group acts on itself by conjugation
format Article
author Omer, Sanaa Mohamed Saleh
Sarmin, Nor Haniza
Erfanian, Ahmad
Moradipour, Kayvan
author_facet Omer, Sanaa Mohamed Saleh
Sarmin, Nor Haniza
Erfanian, Ahmad
Moradipour, Kayvan
author_sort Omer, Sanaa Mohamed Saleh
title An alternative technique for computing the commutativity degree of dihedral groups
title_short An alternative technique for computing the commutativity degree of dihedral groups
title_full An alternative technique for computing the commutativity degree of dihedral groups
title_fullStr An alternative technique for computing the commutativity degree of dihedral groups
title_full_unstemmed An alternative technique for computing the commutativity degree of dihedral groups
title_sort alternative technique for computing the commutativity degree of dihedral groups
publisher CESER Publications
publishDate 2013
url http://eprints.utm.my/id/eprint/50475/
http://www.ceser.in/ceserp/index.php/ijts/article/view/997
_version_ 1643652802878111744
score 13.211869

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