The automorphism group of a free-by-cyclic groups in rank 2

O. Bogopolski, A. Martino, E. Ventura

Let $\varphi$ be an automorphism of a free group $F_n$ of rank $n$, and let $M_{\varphi }=F_n{⋊}_{\varphi }\mathbb{Z}$ be the corresponding mapping torus of $\varphi$. We study the group $Out(M_{\varphi })$ under…