Work

Local indicability of groups with homology circle presentations

Year: 2025

Type: article

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.

Source: Algebraic & Geometric Topology

DOI: 10.2140/agt.2025.25.4077

Authors: Agustín Nicolás Barreto, Elías Gabriel Minian

Institution: Universidad de Buenos Aires

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Consejo Nacional de Investigaciones Científicas y Técnicas, Secretaría de Ciencia y Técnica, Universidad de Buenos Aires

OpenAlex ID: W4415815538