Local indicability of groups with homology circle presentations

Barreto, Agustín Nicolás; Minian, Elías Gabriel

doi:10.2140/agt.2025.25.4077

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ISSN (electronic): 1472-2739

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Local indicability of groups with homology circle presentations

Agustín Nicolás Barreto and Elías Gabriel Minian

Algebraic & Geometric Topology 25 (2025) 4077–4093

DOI: 10.2140/agt.2025.25.4077

Abstract

We investigate conditions that guarantee local indicability of groups that admit presentations with the homology of a circle, generalizing a result of J Howie for two-relator presentations. We apply our results to investigate local indicability of LOT groups and some classes of non-cycle-free Adian presentations, extending previous results in that direction by J Howie and D Wise.

Keywords

locally indicable groups, labeled oriented trees, asphericity

Mathematical Subject Classification

Primary: 20F05, 20F65, 57M05, 57M07, 57M10

References

Publication

Received: 11 December 2023

Revised: 24 May 2024

Accepted: 14 October 2024

Published: 29 October 2025

Authors

Agustín Nicolás Barreto
Departamento de Matematica Universidad de Buenos Aires Buenos Aires Argentina

Elías Gabriel Minian
Departamento de Matematica Universidad de Buenos Aires Buenos Aires Argentina

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Volume 25, issue 7 (2025)