by Natalie Aisbett
Abstract: Reflection groups have been studied extensively since the beginning of the twentieth century. My thesis focuses mainly on the subclass of complex reflection groups called Shephard groups. The majority of this thesis works towards a new classification of the Shephard groups. As well as this, an analysis of affine diagrams has been done to set the framework for the possibility of defining a new class of groups, affine Shephard groups defined analogously to affine Weyl groups. We have studied one family of affine Shephard groups.
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