eprintid: 10188998
rev_number: 10
eprint_status: archive
userid: 699
dir: disk0/10/18/89/98
datestamp: 2024-03-14 08:57:35
lastmod: 2024-03-14 08:57:35
status_changed: 2024-03-14 08:57:35
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Louder, L
creators_name: Wilton, H
title: Uniform negative immersions and the coherence of one-relator groups
ispublished: inpress
divisions: UCL
divisions: B04
divisions: C06
divisions: F59
note: Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
abstract: Previously, the authors proved that the presentation complex of a one-relator group G satisfies a geometric condition called negative immersions if every two-generator, one-relator subgroup of G is free. Here, we prove that one-relator groups with negative immersions are coherent, answering a question of Baumslag in this case. Other strong constraints on the finitely generated subgroups also follow such as, for example, the co-Hopf property. The main new theorem strengthens negative immersions to uniform negative immersions, using a rationality theorem proved with linear-programming techniques.
date: 2024-01-01
date_type: published
publisher: Springer Science and Business Media LLC
official_url: http://dx.doi.org/10.1007/s00222-024-01246-4
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 2257092
doi: 10.1007/s00222-024-01246-4
lyricists_name: Louder, Larsen
lyricists_id: LLOUD96
actors_name: Louder, Larsen
actors_id: LLOUD96
actors_role: owner
full_text_status: public
publication: Inventiones Mathematicae
issn: 0020-9910
citation:        Louder, L;    Wilton, H;      (2024)    Uniform negative immersions and the coherence of one-relator groups.                   Inventiones Mathematicae        10.1007/s00222-024-01246-4 <https://doi.org/10.1007/s00222-024-01246-4>.    (In press).    Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10188998/2/Louder_s00222-024-01246-4.pdf