The Classification of the Epimorphisms from the Artin-Tits groups of type $A(\widetilde{A}_{n})$ to $W(\widetilde{A}_{n})$

Abstract

We present a complete classification for the epimorphisms from the affine Artin-Tits groups $A(\widetilde{A}_{n})$ to the corresponding Coxeter groups $W(\widetilde{A}_{n})$, for $n\geq 1$.