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Technical report: character table of symmetric group S₃ using permutation module / Ain Natasha Mohd Zaini and Mariam Jamilah R.Azmi

The aim of this project is to describe the conjugacy classes and the irreducible representation of finite group together with character table of symmetric group (Sₙ). The irreducible character of symmetric group (Sₙ) was determined by using permutation module and the representation of Young tableux...

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Main Authors: Mohd Zaini, Ain Natasha, R.Azmi, Mariam Jamilah
Format: Student Project
Language:English
Published: 2018
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110547/1/110547.pdf
https://ir.uitm.edu.my/id/eprint/110547/
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spelling my.uitm.ir.1105472025-02-25T09:25:13Z https://ir.uitm.edu.my/id/eprint/110547/ Technical report: character table of symmetric group S₃ using permutation module / Ain Natasha Mohd Zaini and Mariam Jamilah R.Azmi Mohd Zaini, Ain Natasha R.Azmi, Mariam Jamilah Study and teaching Equations Analysis The aim of this project is to describe the conjugacy classes and the irreducible representation of finite group together with character table of symmetric group (Sₙ). The irreducible character of symmetric group (Sₙ) was determined by using permutation module and the representation of Young tableux is used to obtain an irreducible representations. A character table of Sn are constructed in this project is for symmetric group of order 3. Hence, the partition of S₃ was generated in order to determine the conjugacy classes as well as the cycle shape of the par­titions. Permutation module, Mλ was used to find the character entries in character table of S₃. However, this method does not produce irreducible characters, then the method of permutation matrix together with the definition of Fixed-Point formula was applied to find the irreducible characters in character table S₃. Finally, the conjugacy classes and irreducible characters of S₃ is obtained in order to construct character table of S₃. 2018 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110547/1/110547.pdf Technical report: character table of symmetric group S₃ using permutation module / Ain Natasha Mohd Zaini and Mariam Jamilah R.Azmi. (2018) [Student Project] <http://terminalib.uitm.edu.my/110547.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Mohd Zaini, Ain Natasha
R.Azmi, Mariam Jamilah
Technical report: character table of symmetric group S₃ using permutation module / Ain Natasha Mohd Zaini and Mariam Jamilah R.Azmi
description The aim of this project is to describe the conjugacy classes and the irreducible representation of finite group together with character table of symmetric group (Sₙ). The irreducible character of symmetric group (Sₙ) was determined by using permutation module and the representation of Young tableux is used to obtain an irreducible representations. A character table of Sn are constructed in this project is for symmetric group of order 3. Hence, the partition of S₃ was generated in order to determine the conjugacy classes as well as the cycle shape of the par­titions. Permutation module, Mλ was used to find the character entries in character table of S₃. However, this method does not produce irreducible characters, then the method of permutation matrix together with the definition of Fixed-Point formula was applied to find the irreducible characters in character table S₃. Finally, the conjugacy classes and irreducible characters of S₃ is obtained in order to construct character table of S₃.
format Student Project
author Mohd Zaini, Ain Natasha
R.Azmi, Mariam Jamilah
author_facet Mohd Zaini, Ain Natasha
R.Azmi, Mariam Jamilah
author_sort Mohd Zaini, Ain Natasha
title Technical report: character table of symmetric group S₃ using permutation module / Ain Natasha Mohd Zaini and Mariam Jamilah R.Azmi
title_short Technical report: character table of symmetric group S₃ using permutation module / Ain Natasha Mohd Zaini and Mariam Jamilah R.Azmi
title_full Technical report: character table of symmetric group S₃ using permutation module / Ain Natasha Mohd Zaini and Mariam Jamilah R.Azmi
title_fullStr Technical report: character table of symmetric group S₃ using permutation module / Ain Natasha Mohd Zaini and Mariam Jamilah R.Azmi
title_full_unstemmed Technical report: character table of symmetric group S₃ using permutation module / Ain Natasha Mohd Zaini and Mariam Jamilah R.Azmi
title_sort technical report: character table of symmetric group s₃ using permutation module / ain natasha mohd zaini and mariam jamilah r.azmi
publishDate 2018
url https://ir.uitm.edu.my/id/eprint/110547/1/110547.pdf
https://ir.uitm.edu.my/id/eprint/110547/
_version_ 1825165201615355904
score 13.239859

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