François Digne, V. GOMI
Abstract
In this article we study by combinatorial methods presentations of the pure braid group associated with any Coxeter group. We generalize to all types the decomposition of the pure braid group into successive semi-direct products known in the case of type An.
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In this article we study by combinatorial methods presentations of the pure braid group associated with any Coxeter group. We generalize to all types the decomposition of the pure braid group into successive semi-direct products known in the case of type An.
Key concepts: Braid group, Coxeter group, Mathematics, Braid, Braid theory, Artin group, Combinatorics, Presentation (obstetrics)