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Conjugacy classes and commuting probability in finite metacyclic P- groups

Let G be a finite non-abelian metacyclic p-group where p is any prime. We compute the exact number of conjugacy classes and the commutativity degree of G. In particular, we describe the number of conjugacy classes both in the split and non-split case.

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Main Authors: Moradipour, Kayyan, Sarmin, Nor Haniza, Erfanian, Ahmad
Format: Article
Published: 2012
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/46733/
http://dx.doi.org/10.2306/scienceasia1513-1874.2012.38.113
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id my.utm.46733
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spelling my.utm.467332017-09-19T00:50:13Z http://eprints.utm.my/id/eprint/46733/ Conjugacy classes and commuting probability in finite metacyclic P- groups Moradipour, Kayyan Sarmin, Nor Haniza Erfanian, Ahmad QA Mathematics Let G be a finite non-abelian metacyclic p-group where p is any prime. We compute the exact number of conjugacy classes and the commutativity degree of G. In particular, we describe the number of conjugacy classes both in the split and non-split case. 2012 Article PeerReviewed Moradipour, Kayyan and Sarmin, Nor Haniza and Erfanian, Ahmad (2012) Conjugacy classes and commuting probability in finite metacyclic P- groups. Science Asia, 38 (1). pp. 133-117. ISSN 1513-1874 http://dx.doi.org/10.2306/scienceasia1513-1874.2012.38.113
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
Moradipour, Kayyan
Sarmin, Nor Haniza
Erfanian, Ahmad
Conjugacy classes and commuting probability in finite metacyclic P- groups
description Let G be a finite non-abelian metacyclic p-group where p is any prime. We compute the exact number of conjugacy classes and the commutativity degree of G. In particular, we describe the number of conjugacy classes both in the split and non-split case.
format Article
author Moradipour, Kayyan
Sarmin, Nor Haniza
Erfanian, Ahmad
author_facet Moradipour, Kayyan
Sarmin, Nor Haniza
Erfanian, Ahmad
author_sort Moradipour, Kayyan
title Conjugacy classes and commuting probability in finite metacyclic P- groups
title_short Conjugacy classes and commuting probability in finite metacyclic P- groups
title_full Conjugacy classes and commuting probability in finite metacyclic P- groups
title_fullStr Conjugacy classes and commuting probability in finite metacyclic P- groups
title_full_unstemmed Conjugacy classes and commuting probability in finite metacyclic P- groups
title_sort conjugacy classes and commuting probability in finite metacyclic p- groups
publishDate 2012
url http://eprints.utm.my/id/eprint/46733/
http://dx.doi.org/10.2306/scienceasia1513-1874.2012.38.113
_version_ 1643652124166324224
score 13.211869

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