Local indicability of groups with homology circle presentations

2023/08/14 by Barreto, Agustín Nicolás, Minian, Elias Gabriel · 1 citation
#20F05 #20F65 #57M05 #57M07 #57M10 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2308.07447

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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• Weakly G-slim complexes and the non-positive immersion property for generalized Wirtinger presentations

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