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arXiv · 1701.06413

Multifraction reduction IV: Padding and Artin-Tits groups of sufficiently large type

Patrick Dehornoy·Derek F. Holt·Sarah Rees
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Abstract

We investigate the padded version of reduction, an extension of multifraction reduction as defined in arXiv:1606.08991, and connect it both with ordinary reduction and with the so-called Property $\mathrm{H}$. As an application, we show that all Artin-Tits groups of sufficiently large type satisfy some weakening Conjecture $\mathrm{A^{padded}}$ of Conjecture $\mathrm{A}$, thus showing that the reduction approach is relevant for these groups.

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Patrick Dehornoy, Derek F. Holt, Sarah Rees. 2017-01-23. Multifraction reduction IV: Padding and Artin-Tits groups of sufficiently large type. https://arxiv.org/abs/1701.06413

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