Conjugacy separability in polynomially growing free-by-cyclic groups
François Dahmani, Sam Hughes, Monika Kudlinska, Nicholas Touikan
Published: 2025/9/26
Abstract
We show that free-by-cyclic groups with polynomially growing monodromies are conjugacy separable and that double cosets of cyclic subgroups are separable. As a corollary of our results, we show that the outer automorphism group of every polynomially growing free-by-cyclic group is residually finite.