An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method

Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. For any group, the number of possible representative sets of matrices is infinite, but they can all be reduced to a single fundamental set, called the irreducible representations of the group. This pa...

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Main Authors: Samin, Nizar Majeed, Sarmin, Nor Haniza, Rahmat, Hamisan
Format: Article
Language:English
Published: Penerbit UTM 2013
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Online Access:http://eprints.utm.my/id/eprint/50000/1/NorHanizaSarmin2013_Anexampleoncomputing.pdf
http://eprints.utm.my/id/eprint/50000/
https://dx.doi.org/10.11113/jt.v64.1730
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spelling my.utm.500002018-10-14T08:26:45Z http://eprints.utm.my/id/eprint/50000/ An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method Samin, Nizar Majeed Sarmin, Nor Haniza Rahmat, Hamisan QA Mathematics Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. For any group, the number of possible representative sets of matrices is infinite, but they can all be reduced to a single fundamental set, called the irreducible representations of the group. This paper focuses on an example of finite metacyclic groups of class two of order 16. The irreducible representation of that group is found by using Great Orthogonality Theorem Method Penerbit UTM 2013 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/50000/1/NorHanizaSarmin2013_Anexampleoncomputing.pdf Samin, Nizar Majeed and Sarmin, Nor Haniza and Rahmat, Hamisan (2013) An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method. Jurnal Teknologi (Sciences and Engineering), 64 (1). pp. 89-92. ISSN 0127-9696 https://dx.doi.org/10.11113/jt.v64.1730 DOI: 10.11113/jt.v64.1730
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/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Samin, Nizar Majeed
Sarmin, Nor Haniza
Rahmat, Hamisan
An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method
description Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. For any group, the number of possible representative sets of matrices is infinite, but they can all be reduced to a single fundamental set, called the irreducible representations of the group. This paper focuses on an example of finite metacyclic groups of class two of order 16. The irreducible representation of that group is found by using Great Orthogonality Theorem Method
format Article
author Samin, Nizar Majeed
Sarmin, Nor Haniza
Rahmat, Hamisan
author_facet Samin, Nizar Majeed
Sarmin, Nor Haniza
Rahmat, Hamisan
author_sort Samin, Nizar Majeed
title An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method
title_short An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method
title_full An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method
title_fullStr An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method
title_full_unstemmed An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method
title_sort example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method
publisher Penerbit UTM
publishDate 2013
url http://eprints.utm.my/id/eprint/50000/1/NorHanizaSarmin2013_Anexampleoncomputing.pdf
http://eprints.utm.my/id/eprint/50000/
https://dx.doi.org/10.11113/jt.v64.1730
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score 13.211869