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arXiv · 0901.0645

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

Ruth Corran·Matthieu Picantin
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Abstract

We describe a new presentation for the complex reflection groups of type $(e,e,r)$ 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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Ruth Corran, Matthieu Picantin. 2009-02-04. A new Garside structure for braid groups of type $(e,e,r)$. https://doi.org/10.1112/jlms%2Fjdr030

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