Automorphisms of the two-sided shift and the Higman--Thompson groups
III: extensions
Automorphisms of the two-sided shift and the Higman--Thompson groups
III: extensions
We aim to interpret important constructions in the theory of automorphisms of the shift dynamical system in terms of subgroups $\mathcal{L}_{n,r}$ of the outer-automorphism groups $\mathcal{O}_{n,r}$ of the Higman--Thompson group $G_{n,r}$, and to extend results and techniques in $\operatorname{Aut}(X_n^{\mathbb{Z}}, \sigma_{n})$ to the groups of automorphisms $\operatorname{Aut}(G_{n,r})$ and outerautomrphisms of the …