A new Garside structure for braid groups of type $(e,e,r)$
Group Theory
2014-02-26 v2
Abstract
We describe a new presentation for the complex reflection groups of type 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.
Keywords
Cite
@article{arxiv.0901.0645,
title = {A new Garside structure for braid groups of type $(e,e,r)$},
author = {Ruth Corran and Matthieu Picantin},
journal= {arXiv preprint arXiv:0901.0645},
year = {2014}
}