A hyperbolic free-by-cyclic group determined by its finite quotients
Abstract We show that the group $ \langle a,b,c,t \,:\, a^t=b,b^t=c,c^t=ca^{-1} \rangle$ is profinitely rigid amongst free-by-cyclic groups, providing the first example of a hyperbolic free-by-cyclic group with this property.
Authors
- Naomi Andrew (ORCID: https://orcid.org/0000-0001-8399-8846)
- Rylee Alanza Lyman (ORCID: https://orcid.org/0000-0002-8083-4747)
- Catherine Pfaff
- Paige Hillen (ORCID: https://orcid.org/0000-0001-6975-3404)
Institutions
- Rutgers, The State University of New Jersey (US)
- University of California, Santa Barbara (US)
- Queen's University (CA)
- University Hospital, Newark (US)
- Institute for Advanced Study (US)
- University of Oxford (GB)
Publication Details
- Journal
- Glasgow Mathematical Journal
- Published
- 2025-04-04
- DOI
- https://doi.org/10.1017/s0017089525000096
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00