Left-orderable groups and amenability

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dc.contributor.authorCiupeanu, Adriana-Stefania
dc.contributor.examiningcommitteeCooper, Susan (Mathematics)en_US
dc.contributor.examiningcommitteeSankaran, Siddarth (Mathematics)en_US
dc.contributor.supervisorClay, Adam (Mathematics)en_US
dc.date.accessioned2019-12-12T20:35:36Z
dc.date.available2019-12-12T20:35:36Z
dc.date.issued2019-12-02en_US
dc.date.submitted2019-12-02T18:34:34Zen
dc.degree.disciplineMathematicsen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractThis thesis provides a review of left-ordered groups and amenable groups. These are used to investigate a conjecture by Peter Linnell, which relates the existence of a nonabelian free group to a strengthening of left-orderability, by examining three research articles. Lastly, we propose a possible generalisation of a theorem by Dave Witte Morris and Peter Linnell.en_US
dc.description.noteFebruary 2020en_US
dc.identifier.urihttp://hdl.handle.net/1993/34404
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectmathematicsen_US
dc.subjectLeft-Orderable Groupsen_US
dc.titleLeft-orderable groups and amenabilityen_US
dc.typemaster thesisen_US
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