$K(\pi ,1)$ and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups

Eddy Godelle, Luis Paris

Let $\Gamma$ be a Coxeter graph, let $(W,S)$ be its associated Coxeter system, and let $(A,\Sigma$) be its associated Artin-Tits system. We regard $W$ as a reflection group acting on a real…