Low dimensional free and linear representations of $\mathrm{Out}(F_3)$

Dawid Kielak

We study homomorphisms from $\mathrm{Out}(F_3)$ to $\mathrm{Out}(F_5)$, and $\mathrm{GL}(m,K)$ for $m<7$, where $K$ is a field of characteristic other than 2 or 3. We conclude th…