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arXiv · 2308.07447

Local indicability of groups with homology circle presentations

Agustín Nicolás Barreto·Elias Gabriel Minian
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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.

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Agustín Nicolás Barreto, Elias Gabriel Minian. 2023-08-14. Local indicability of groups with homology circle presentations. https://arxiv.org/abs/2308.07447

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