Title

On rank 2 complex reflection groups

Document Type

Article

Publication Date

6-1-2008

Abstract

We describe a class of groups with the property that the finite ones among them are precisely the complex reflection groups of rank 2. This situation is reminiscent of Coxeter groups, among which the finite ones are precisely the real reflection groups. We also study braid relations between complex reflections and indicate connections to an axiomatic study of root systems and to the Shephard-Todd "collineation groups". Copyright © Taylor & Francis Group, LLC.

Publication Source (Journal or Book title)

Communications in Algebra

First Page

2092

Last Page

2132

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