Work

On two‐generator subgroups of mapping torus groups

Year: 2025

Type: article

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 .

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70226

Authors: Naomi Andrew, Edgar A. Bering IV, Ilya Kapovich, Stefano Vidussi, Peter Shalen

Institutions: University of Oxford, San Jose State University, Hunter College, University of California, Riverside, University of Illinois Chicago

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, American Institute of Mathematics, European Commission, European Research Council

Awards: Geometry of Free Group Automorphisms: Beyond the Frontier, G434337789, G7798200634