The centralizer graph of finite non-abelian groups

Let G be a finite non-abelian group. In this paper, we introduce a new graph called the centralizer graph, denoted as Γcent. The vertices of this graph are proper centralizers in which two vertices are adjacent if their cardinalities are identical. The centralizer graph of dihedral groups, quaternio...

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Main Authors: Omer, S. M. S., Sarmin, Nor Haniza
Format: Article
Published: Research India Publications 2014
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Online Access:http://eprints.utm.my/id/eprint/62850/
http://science.utm.my/nizasarmin/files/2015/03/The-Centralizer-Graph-of-Finite-Non-abelian-Groups.pdf
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spelling my.utm.628502017-06-19T00:44:00Z http://eprints.utm.my/id/eprint/62850/ The centralizer graph of finite non-abelian groups Omer, S. M. S. Sarmin, Nor Haniza TP Chemical technology Let G be a finite non-abelian group. In this paper, we introduce a new graph called the centralizer graph, denoted as Γcent. The vertices of this graph are proper centralizers in which two vertices are adjacent if their cardinalities are identical. The centralizer graph of dihedral groups, quaternion groups and dicyclic groups is found. Research India Publications 2014 Article PeerReviewed Omer, S. M. S. and Sarmin, Nor Haniza (2014) The centralizer graph of finite non-abelian groups. Global Journal of Pure and Applied Mathematics, 10 (4). pp. 529-534. ISSN 0973-1768 http://science.utm.my/nizasarmin/files/2015/03/The-Centralizer-Graph-of-Finite-Non-abelian-Groups.pdf
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 TP Chemical technology
spellingShingle TP Chemical technology
Omer, S. M. S.
Sarmin, Nor Haniza
The centralizer graph of finite non-abelian groups
description Let G be a finite non-abelian group. In this paper, we introduce a new graph called the centralizer graph, denoted as Γcent. The vertices of this graph are proper centralizers in which two vertices are adjacent if their cardinalities are identical. The centralizer graph of dihedral groups, quaternion groups and dicyclic groups is found.
format Article
author Omer, S. M. S.
Sarmin, Nor Haniza
author_facet Omer, S. M. S.
Sarmin, Nor Haniza
author_sort Omer, S. M. S.
title The centralizer graph of finite non-abelian groups
title_short The centralizer graph of finite non-abelian groups
title_full The centralizer graph of finite non-abelian groups
title_fullStr The centralizer graph of finite non-abelian groups
title_full_unstemmed The centralizer graph of finite non-abelian groups
title_sort centralizer graph of finite non-abelian groups
publisher Research India Publications
publishDate 2014
url http://eprints.utm.my/id/eprint/62850/
http://science.utm.my/nizasarmin/files/2015/03/The-Centralizer-Graph-of-Finite-Non-abelian-Groups.pdf
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score 13.160551