Local indicability of groups with homology circle presentations
Group Theory
2023-08-16 v1 Geometric Topology
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
Cite
@article{arxiv.2308.07447,
title = {Local indicability of groups with homology circle presentations},
author = {Agustín Nicolás Barreto and Elias Gabriel Minian},
journal= {arXiv preprint arXiv:2308.07447},
year = {2023}
}
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15 pages