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Pré-Publication, Document De Travail Année : 2022

On parabolic subgroups of Artin-Tits groups

Résumé

We address the conjecture which states that an intersection of parabolic subgroups of an Artin-Tits group is a parabolic subgroup. We prove that the conjecture is equivalent to a, a priori, weaker conjecture. We also prove the conjecture in a specific case. Along the way, we provide short and almost self-contain algebraical proofs of several classical results on Artin-Tits groups, such as those of Van der Lek on intersection of standard parabolic subgroups.
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Dates et versions

hal-03723051 , version 1 (13-07-2022)

Identifiants

  • HAL Id : hal-03723051 , version 1

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Eddy Godelle. On parabolic subgroups of Artin-Tits groups. 2022. ⟨hal-03723051⟩
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