Left-orderable groups and amenability
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Date
2019-12-02
Authors
Ciupeanu, Adriana-Stefania
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Abstract
This 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.
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Keywords
mathematics, Left-Orderable Groups