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The commutativity degree of 3-engel groups up to order 40

Friedrich Engel has discovered Engel groups in the 50s in Germany. The origin of this group lies in the theory of Lie algebras. As an example, one of the basic classical results for Engel Lie algebras is Engel’s theorem. In this research, the 3- Engel groups of order up to 40 will be the main focus....

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Main Author: Zakaria, Mardhiah
Format: Thesis
Language:English
Published: 2011
Subjects:
Q Science (General)
QA76 Computer software
Online Access:http://eprints.utm.my/id/eprint/47967/25/MardhiahZakariaMFS2011.pdf
http://eprints.utm.my/id/eprint/47967/
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spelling my.utm.479672018-05-30T03:57:42Z http://eprints.utm.my/id/eprint/47967/ The commutativity degree of 3-engel groups up to order 40 Zakaria, Mardhiah Q Science (General) QA76 Computer software Friedrich Engel has discovered Engel groups in the 50s in Germany. The origin of this group lies in the theory of Lie algebras. As an example, one of the basic classical results for Engel Lie algebras is Engel’s theorem. In this research, the 3- Engel groups of order up to 40 will be the main focus. An application of 3-Engel groups on probability theory will be presented too. The commutativity degree can also be viewed as the probability that two elements in the group commute denoted by . This probability applied to the eighteen 3-Engel groups with order at most 40 is proven to be at most 5/8. A software named Groups, Algorithms and Programming (GAP) software is used to facilitate most of the calculations in this research. 2011-06 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/47967/25/MardhiahZakariaMFS2011.pdf Zakaria, Mardhiah (2011) The commutativity degree of 3-engel groups up to order 40. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.
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 Q Science (General)
QA76 Computer software
spellingShingle Q Science (General)
QA76 Computer software
Zakaria, Mardhiah
The commutativity degree of 3-engel groups up to order 40
description Friedrich Engel has discovered Engel groups in the 50s in Germany. The origin of this group lies in the theory of Lie algebras. As an example, one of the basic classical results for Engel Lie algebras is Engel’s theorem. In this research, the 3- Engel groups of order up to 40 will be the main focus. An application of 3-Engel groups on probability theory will be presented too. The commutativity degree can also be viewed as the probability that two elements in the group commute denoted by . This probability applied to the eighteen 3-Engel groups with order at most 40 is proven to be at most 5/8. A software named Groups, Algorithms and Programming (GAP) software is used to facilitate most of the calculations in this research.
format Thesis
author Zakaria, Mardhiah
author_facet Zakaria, Mardhiah
author_sort Zakaria, Mardhiah
title The commutativity degree of 3-engel groups up to order 40
title_short The commutativity degree of 3-engel groups up to order 40
title_full The commutativity degree of 3-engel groups up to order 40
title_fullStr The commutativity degree of 3-engel groups up to order 40
title_full_unstemmed The commutativity degree of 3-engel groups up to order 40
title_sort commutativity degree of 3-engel groups up to order 40
publishDate 2011
url http://eprints.utm.my/id/eprint/47967/25/MardhiahZakariaMFS2011.pdf
http://eprints.utm.my/id/eprint/47967/
_version_ 1643652419628826624
score 13.160551

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