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

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

2009-01-06

arxiv.org/abs/0901.0645v2

Mathematics

Group Theory

Scientific paper

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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