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dc.contributor.authorGatward, Sally Morrell
dc.date.accessioned2011-12-08T11:18:29Z
dc.date.available2011-12-08T11:18:29Z
dc.date.issued2011
dc.identifier.urihttp://qmro.qmul.ac.uk/xmlui/handle/123456789/2342
dc.descriptionPhDen_US
dc.description.abstractMy supervisors Ian Chiswell and Thomas M¨uller have found a new class of groups of functions defined on intervals of the real line, with multiplication defined by analogy with multiplication in free groups. I have extended this idea to functions defined on a densely ordered abelian group. This doesn’t give rise to a class of groups straight away, but using the idea of exponentiation from a paper by Myasnikov, Remeslennikov and Serbin, I have formed another class of groups, in which each group contains a subgroup isomorphic to one of Chiswell and M¨uller’s groups. After the introduction, the second chapter defines the set that contains the group and describes the multiplication for elements within the set. In chapter three I define exponentiation, which leads on to chapter four, in which I describe how it is used to find my groups. Then in chapter five I describe the structure of the centralisers of certain elements within the groups.en_US
dc.language.isoenen_US
dc.subjectMathematicsen_US
dc.titleOn a new construction in group theoryen_US
dc.typeThesisen_US


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