New Methods for Finding Non-Left-Orderable and Unique Product Groups

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dc.contributor.authorHair, Stevenen
dc.contributor.committeechairLinnell, Peter A.en
dc.contributor.committeememberFarkas, Daniel R.en
dc.contributor.committeememberHaskell, Peter E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2011-08-06T14:42:49Zen
dc.date.adate2003-12-15en
dc.date.available2011-08-06T14:42:49Zen
dc.date.issued2003-12-04en
dc.date.rdate2003-12-15en
dc.date.sdate2003-12-08en
dc.description.abstractIn this paper, we present techniques for proving a group to be non-left-orderable or a unique product group. These methods involve the existence of a mapping from the group to R which obeys a left-multiplication criterion. By determining the existence or non-existence of such a mapping, the desired information about the group can be concluded. As examples, we apply this technique to groups of transformations in hyperbolic 2- and 3- space, and Fibonacci groups.en
dc.description.degreeMaster of Scienceen
dc.format.mediumETDen
dc.identifier.otheretd-12082003-113057en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12082003-113057en
dc.identifier.urihttp://hdl.handle.net/10919/9633en
dc.publisherVirginia Techen
dc.relation.haspartSMHairThesis.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectKleinianen
dc.subjectleft-orderableen
dc.subjectFibonaccien
dc.subjectunique producten
dc.subjectFuchsianen
dc.titleNew Methods for Finding Non-Left-Orderable and Unique Product Groupsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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