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Technical report: classification of groups of order 16 / Nur Nabihah Mohd Saber, Syafieza Saidin and Nur Zahira Mohamed Zahir

Abstract algebra, also known as modem algebra is a broad division of mathematics. It is the set of advanced topics of algebra that deal with abstract algebraic structures of various sets such as real numbers, complex number, vector spaces and matrices rather than rules and procedures for manipulatin...

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Main Authors: Mohd Saber, Nur Nabihah, Saidin, Syafieza, Mohamed Zahir, Nur Zahira
Format: Student Project
Language:English
Published: 2017
Subjects:
Study and teaching
Algebra
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110263/1/110263.pdf
https://ir.uitm.edu.my/id/eprint/110263/
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spelling my.uitm.ir.1102632025-02-13T23:50:00Z https://ir.uitm.edu.my/id/eprint/110263/ Technical report: classification of groups of order 16 / Nur Nabihah Mohd Saber, Syafieza Saidin and Nur Zahira Mohamed Zahir Mohd Saber, Nur Nabihah Saidin, Syafieza Mohamed Zahir, Nur Zahira Study and teaching Algebra Analysis Abstract algebra, also known as modem algebra is a broad division of mathematics. It is the set of advanced topics of algebra that deal with abstract algebraic structures of various sets such as real numbers, complex number, vector spaces and matrices rather than rules and procedures for manipulating their individual elements. The important of these structures are group, ring and field. This research has been conducted to classify the group of order 16 as it is always obtained as a special case of sophisticated theory of p-groups. Group is defined as a set G which is closed under the binary operation while a group is called a p-group if it has the order of power of prime. To prove that there is no more group of order n is the problem that has been arisen during this research. To make the classification of groups easier and also as the solution to the problem, the idea of group presentation is used. Presentation of group is one of the methods of defining a group. The groups are formed by giving a set of generators and certain equations which are satisfied by the generators. The objectives for this project are identifying all the groups of order 16 and determining their abelian groups. At the end of this research on classification of groups of order 16, 14 groups has been obtained which the first five is abelian and the rest of it is non-abelian. 2017 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110263/1/110263.pdf Technical report: classification of groups of order 16 / Nur Nabihah Mohd Saber, Syafieza Saidin and Nur Zahira Mohamed Zahir. (2017) [Student Project] <http://terminalib.uitm.edu.my/110263.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
Algebra
Analysis
spellingShingle Study and teaching
Algebra
Analysis
Mohd Saber, Nur Nabihah
Saidin, Syafieza
Mohamed Zahir, Nur Zahira
Technical report: classification of groups of order 16 / Nur Nabihah Mohd Saber, Syafieza Saidin and Nur Zahira Mohamed Zahir
description Abstract algebra, also known as modem algebra is a broad division of mathematics. It is the set of advanced topics of algebra that deal with abstract algebraic structures of various sets such as real numbers, complex number, vector spaces and matrices rather than rules and procedures for manipulating their individual elements. The important of these structures are group, ring and field. This research has been conducted to classify the group of order 16 as it is always obtained as a special case of sophisticated theory of p-groups. Group is defined as a set G which is closed under the binary operation while a group is called a p-group if it has the order of power of prime. To prove that there is no more group of order n is the problem that has been arisen during this research. To make the classification of groups easier and also as the solution to the problem, the idea of group presentation is used. Presentation of group is one of the methods of defining a group. The groups are formed by giving a set of generators and certain equations which are satisfied by the generators. The objectives for this project are identifying all the groups of order 16 and determining their abelian groups. At the end of this research on classification of groups of order 16, 14 groups has been obtained which the first five is abelian and the rest of it is non-abelian.
format Student Project
author Mohd Saber, Nur Nabihah
Saidin, Syafieza
Mohamed Zahir, Nur Zahira
author_facet Mohd Saber, Nur Nabihah
Saidin, Syafieza
Mohamed Zahir, Nur Zahira
author_sort Mohd Saber, Nur Nabihah
title Technical report: classification of groups of order 16 / Nur Nabihah Mohd Saber, Syafieza Saidin and Nur Zahira Mohamed Zahir
title_short Technical report: classification of groups of order 16 / Nur Nabihah Mohd Saber, Syafieza Saidin and Nur Zahira Mohamed Zahir
title_full Technical report: classification of groups of order 16 / Nur Nabihah Mohd Saber, Syafieza Saidin and Nur Zahira Mohamed Zahir
title_fullStr Technical report: classification of groups of order 16 / Nur Nabihah Mohd Saber, Syafieza Saidin and Nur Zahira Mohamed Zahir
title_full_unstemmed Technical report: classification of groups of order 16 / Nur Nabihah Mohd Saber, Syafieza Saidin and Nur Zahira Mohamed Zahir
title_sort technical report: classification of groups of order 16 / nur nabihah mohd saber, syafieza saidin and nur zahira mohamed zahir
publishDate 2017
url https://ir.uitm.edu.my/id/eprint/110263/1/110263.pdf
https://ir.uitm.edu.my/id/eprint/110263/
_version_ 1825165170069995520
score 13.244413

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