Local indicability of groups with homology circle presentations

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.

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Publication Details

Journal
Algebraic & Geometric Topology
Published
2025-10-29
DOI
https://doi.org/10.2140/agt.2025.25.4077
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Local indicability of groups with homology circle presentations

Elías Gabriel Minian, Agustín Nicolás Barreto
Algebraic & Geometric Topology
Homotopy and Cohomology in Algebraic Topology
article

Local indicability of groups with homology circle presentations

Elías Gabriel Minian, Agustín Nicolás Barreto
article en

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.

Algebraic & Geometric TopologyVol. 25(7)
Universidad de Buenos Aires (AR)
Consejo Nacional de Investigaciones Científicas y Técnicas, Secretaría de Ciencia y Técnica, Universidad de Buenos Aires
Openalex Percentile: Top 61%
Homotopy and Cohomology in Algebraic Topology
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