Automorphisms of large-type free-of-infinity Artin groups

Abstract

We compute explicitly the automorphism and outer automorphism group of all large-type free-of-infinity Artin groups. Our strategy involves reconstructing the associated Deligne complexes in a purely algebraic manner, i.e. in a way that is independent from the choice of standard generators for the groups.

21 pages, 6 figures. This version has been accepted for publication in Geometriae Dedicata, and contains some modifications advised by the referee. This paper is the second part of a larger paper that has been split. The first part can be found at: arXiv:2201.08329