Fixed subgroups in Artin groups

Oli Jones, Nicolas Vaskou

We study fixed subgroups of automorphisms of any large-type Artin group $A_{\Gamma }$. We define a natural subgroup ${\mathrm{Aut}}_{\Gamma }(A_{\Gamma })$ of $\mathrm{Aut}(A_{\Gamma })$, and for every $γ\in \mathr…