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

Abstract

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-cyclic group with this property.

arXiv comment4 pages. v2: final version, to appear in Glasgow Mathematical Journal

References in corpus (1)

• Profinite rigidity and surface bundles over the circle