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Some Fibred Knots with Bi-orderable Knot Groups

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dc.contributor.advisorNicas, Andrewen_US
dc.contributor.authorLu, Wangshanen_US
dc.contributor.departmentMathematics and Statisticsen_US
dc.date.accessioned2014-06-18T17:06:53Z
dc.date.available2014-06-18T17:06:53Z
dc.date.created2014-06-13en_US
dc.date.issued2007en_US
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.description.degreeMaster of Science (MS)en_US
dc.identifier.otheropendissertations/9083en_US
dc.identifier.other10164en_US
dc.identifier.other5686369en_US
dc.identifier.urihttp://hdl.handle.net/11375/14262
dc.subjectknotsen_US
dc.subjectorderability of knot groupsen_US
dc.subjectAlexander polynomialen_US
dc.subjectspecial polynomialen_US
dc.subjectLinnellen_US
dc.subjectRhemtullaen_US
dc.subjectRolfsenen_US
dc.subjectMathematicsen_US
dc.subjectPhysical Sciences and Mathematicsen_US
dc.subjectStatistics and Probabilityen_US
dc.subjectMathematicsen_US
dc.titleSome Fibred Knots with Bi-orderable Knot Groupsen_US
dc.typethesisen_US

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