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Pré-Publication, Document De Travail Année : 2017

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

Derek F. Holt
  • Fonction : Auteur
  • PersonId : 999765
Sarah Rees
  • Fonction : Auteur
  • PersonId : 999766

Résumé

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 H. As an application, we show that all Artin-Tits groups of sufficiently large type satisfy some weakening Conjecture Apadded of Conjecture A, thus showing that the reduction approach is relevant for these groups

Dates et versions

hal-01449591 , version 1 (30-01-2017)

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Patrick Dehornoy, Derek F. Holt, Sarah Rees. Multifraction reduction IV: Padding and Artin-Tits groups of sufficiently large type. 2017. ⟨hal-01449591⟩
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