The computation of the commutativity degree for dihedral groups in terms of centralizers

The computation of the commutativity degree for dihedral groups in terms of centralizers

The commutativity degree of finite groups is computed by finding the number of conjugacy classes of G. Also, finding the centralizers of a finite group can be applied to obtain the commutativity degree of the group. In this paper we construct some upper bounds for the commutativity degree in terms o...

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Main Authors: Omer, Sanaa Mohamed Saleh, Sarmin, Nor Haniza, Moradipour, Kayvan, Erfanian, Ahmad
Format: Article
Published: 2012
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QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/47599/
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Institution: Universiti Teknologi Malaysia
id my.utm.47599
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spelling my.utm.475992019-03-05T01:59:03Z http://eprints.utm.my/id/eprint/47599/ The computation of the commutativity degree for dihedral groups in terms of centralizers Omer, Sanaa Mohamed Saleh Sarmin, Nor Haniza Moradipour, Kayvan Erfanian, Ahmad QA Mathematics The commutativity degree of finite groups is computed by finding the number of conjugacy classes of G. Also, finding the centralizers of a finite group can be applied to obtain the commutativity degree of the group. In this paper we construct some upper bounds for the commutativity degree in terms of centralizers for the dihedral group Dn, where the dihedral group acts on itself by conjugation. 2012 Article PeerReviewed Omer, Sanaa Mohamed Saleh and Sarmin, Nor Haniza and Moradipour, Kayvan and Erfanian, Ahmad (2012) The computation of the commutativity degree for dihedral groups in terms of centralizers. Australian Journal of Basic and Applied Sciences, 6 (10). pp. 48-52. ISSN 1991-8178
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
Moradipour, Kayvan
Erfanian, Ahmad
The computation of the commutativity degree for dihedral groups in terms of centralizers
description The commutativity degree of finite groups is computed by finding the number of conjugacy classes of G. Also, finding the centralizers of a finite group can be applied to obtain the commutativity degree of the group. In this paper we construct some upper bounds for the commutativity degree in terms of centralizers for the dihedral group Dn, where the dihedral group acts on itself by conjugation.
format Article
author Omer, Sanaa Mohamed Saleh
Sarmin, Nor Haniza
Moradipour, Kayvan
Erfanian, Ahmad
author_facet Omer, Sanaa Mohamed Saleh
Sarmin, Nor Haniza
Moradipour, Kayvan
Erfanian, Ahmad
author_sort Omer, Sanaa Mohamed Saleh
title The computation of the commutativity degree for dihedral groups in terms of centralizers
title_short The computation of the commutativity degree for dihedral groups in terms of centralizers
title_full The computation of the commutativity degree for dihedral groups in terms of centralizers
title_fullStr The computation of the commutativity degree for dihedral groups in terms of centralizers
title_full_unstemmed The computation of the commutativity degree for dihedral groups in terms of centralizers
title_sort computation of the commutativity degree for dihedral groups in terms of centralizers
publishDate 2012
url http://eprints.utm.my/id/eprint/47599/
_version_ 1643652348126429184

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