Endomorphisms of Artin groups of type D
Résumé
In this paper we determine a classification of the endomorphisms of the Artin group of type $D_n$ for $n\ge 6$. In particular we determine its automorphism group and its outer automorphism group. We also determine a classification of the homomorphisms from the Artin group of type $D_n$ to the Artin group of type $A_{n-1}$ and a classification of the homomorphisms from the Artin group of type $A_{n-1} $ to the Artin group of type $D_n$ for $n\ge 6$. The results are algebraic in nature but the proofs are based on topological arguments (curves on surfaces and mapping class groups).
Origine | Fichiers produits par l'(les) auteur(s) |
---|