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http://hdl.handle.net/11375/14262
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DC Field | Value | Language |
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dc.contributor.advisor | Nicas, Andrew | en_US |
dc.contributor.author | Lu, Wangshan | en_US |
dc.date.accessioned | 2014-06-18T17:06:53Z | - |
dc.date.available | 2014-06-18T17:06:53Z | - |
dc.date.created | 2014-06-13 | en_US |
dc.date.issued | 2007 | en_US |
dc.identifier.other | opendissertations/9083 | en_US |
dc.identifier.other | 10164 | en_US |
dc.identifier.other | 5686369 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/14262 | - |
dc.description.abstract | <p>This project aims to give an overview of knots, orderability of knot groups, and to construct knots for which the knot groups enjoy some nice properties.</p> <p>To accomplish this, we first present some preliminary results concerning knots and knot groups. We then introduce the Alexander polynomial, and explain the idea of a special polynomial originally introduced by Linnell, Rhemtulla and Rolfsen. By investigating the conditions on a special polynomial, we classify all the special Alexander polynomial of fibred knots of degree less than 10. Finally we construct examples of fibred knots which have a special Alexander polynomial.</p> | en_US |
dc.subject | knots | en_US |
dc.subject | orderability of knot groups | en_US |
dc.subject | Alexander polynomial | en_US |
dc.subject | special polynomial | en_US |
dc.subject | Linnell | en_US |
dc.subject | Rhemtulla | en_US |
dc.subject | Rolfsen | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Physical Sciences and Mathematics | en_US |
dc.subject | Statistics and Probability | en_US |
dc.subject | Mathematics | en_US |
dc.title | Some Fibred Knots with Bi-orderable Knot Groups | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics and Statistics | en_US |
dc.description.degree | Master of Science (MS) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 828.99 kB | Adobe PDF | View/Open |
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