Publication Date

7-8-2025

Document Type

Article

Publication Title

Journal of the London Mathematical Society

Volume

112

Issue

1

DOI

10.1112/jlms.70226

Abstract

We prove that if (Formula presented.) is the mapping torus group of an injective endomorphism (Formula presented.) of a free group (Formula presented.) (of possibly infinite rank), then every two-generator subgroup (Formula presented.) of (Formula presented.) is either free or a (finitary) sub-mapping torus. As an application we show that if (Formula presented.) is a fully irreducible atoroidal automorphism, then every two-generator subgroup of (Formula presented.) is either free or has finite index in (Formula presented.).

Funding Number

850930

Funding Sponsor

European Research Council

Comments

This is the peer-reviewed version of the following article: Journal of the London Mathematical Society, which has been published in final form at https://doi.org/10.1112/jlms.70226. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.

Department

Mathematics and Statistics

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