A hyperbolic free-by-cyclic group determined by its finite quotients

Naomi Andrew, Paige Hillen, Robert Alonzo Lyman +1

We show that the group $⟨a,b,c,t:a^t=b,b^t=c,c^t=c{a}^{-1}⟩$ is profinitely rigid amongst free-by-cyclic groups, providing the first example of a hyperbolic free-by-c…