School of Mathematics and Statistics - Theses

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Duality groups

AISBETT, NATALIE ( 2011)

This thesis focuses mainly on the subclass of complex reflection groups called duality groups. We have worked towards a new classification of the duality 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 duality groups defined analogously to affine Weyl groups. We have studied one family of affine duality groups.