Irreducible representation of finite metacyclic group of nilpotency class two of order 16

Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. It originated in the study of permutation groups, and algebras of matrices. Representation theory has important applications in physics and chemistry. This research focuses on finite metacyclic groups...

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Main Author:	Samin, Nizar Majeed
Format:	Thesis
Language:	English
Published:	2013
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/47929/25/NizarMajeedSaminMFS2013.pdf
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id	my-utm-ep.47929
record_format	uketd_dc
spelling	my-utm-ep.479292017-07-17T07:53:22Z Irreducible representation of finite metacyclic group of nilpotency class two of order 16 2013-06 Samin, Nizar Majeed QA Mathematics Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. It originated in the study of permutation groups, and algebras of matrices. Representation theory has important applications in physics and chemistry. This research focuses on finite metacyclic groups. The classification of finite metacyclic groups is divided into three types which are denoted as Type I, Type II and Type III. 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. Irreducible representation is actually the nucleus of a character table and is of great importance in chemistry. In this research, the irreducible representation of finite metacyclic groups of class two of order 16 are found using two methods, namely the Great Orthogonality Theorem Method and Burnside Method. 2013-06 Thesis http://eprints.utm.my/id/eprint/47929/ http://eprints.utm.my/id/eprint/47929/25/NizarMajeedSaminMFS2013.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Samin, Nizar Majeed Irreducible representation of finite metacyclic group of nilpotency class two of order 16
description	Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. It originated in the study of permutation groups, and algebras of matrices. Representation theory has important applications in physics and chemistry. This research focuses on finite metacyclic groups. The classification of finite metacyclic groups is divided into three types which are denoted as Type I, Type II and Type III. 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. Irreducible representation is actually the nucleus of a character table and is of great importance in chemistry. In this research, the irreducible representation of finite metacyclic groups of class two of order 16 are found using two methods, namely the Great Orthogonality Theorem Method and Burnside Method.
format	Thesis
qualification_level	Master's degree
author	Samin, Nizar Majeed
author_facet	Samin, Nizar Majeed
author_sort	Samin, Nizar Majeed
title	Irreducible representation of finite metacyclic group of nilpotency class two of order 16
title_short	Irreducible representation of finite metacyclic group of nilpotency class two of order 16
title_full	Irreducible representation of finite metacyclic group of nilpotency class two of order 16
title_fullStr	Irreducible representation of finite metacyclic group of nilpotency class two of order 16
title_full_unstemmed	Irreducible representation of finite metacyclic group of nilpotency class two of order 16
title_sort	irreducible representation of finite metacyclic group of nilpotency class two of order 16
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2013
url	http://eprints.utm.my/id/eprint/47929/25/NizarMajeedSaminMFS2013.pdf
_version_	1747817265986797568

Irreducible representation of finite metacyclic group of nilpotency class two of order 16

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