On two‐generator subgroups of mapping torus groups
Abstract We prove that if is the mapping torus group of an injective endomorphism of a free group (of possibly infinite rank), then every two‐generator subgroup of is either free or a (finitary) sub‐mapping torus. As an application we show that if is a fully irreducible atoroidal automorphism, then every two‐generator subgroup of is either free or has finite index in .
Authors
- Naomi Andrew (ORCID: https://orcid.org/0000-0001-8399-8846)
- Ilya Kapovich (ORCID: https://orcid.org/0000-0002-7694-6236)
- Stefano Vidussi (ORCID: https://orcid.org/0000-0003-3932-9308)
- Peter Shalen
- Edgar A. Bering (ORCID: https://orcid.org/0000-0001-9840-9207)
Institutions
- University of California, Riverside (US)
- University of Illinois Chicago (US)
- Hunter College (US)
- University of Oxford (GB)
- San Jose State University (US)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-07-01
- DOI
- https://doi.org/10.1112/jlms.70226
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- National Science Foundation
- European Commission
- European Research Council