A new Garside structure for braid groups of type (e,e,r)(e,e,r)

preprint2009arXivOpen access

Abstract

We describe a new presentation for the complex reflection groups of type (e,e,r)(e,e,r) and their braid groups. A diagram for this presentation is proposed. The presentation is a monoid presentation which is shown to give rise to a Garside structure. A detailed study of the combinatorics of this structure leads us to describe it as post-classical.

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