Basic Questions on Artin-Tits groups - Archive ouverte HAL Accéder directement au contenu
Rapport Année : 2011

Basic Questions on Artin-Tits groups

Eddy Godelle
  • Fonction : Auteur
  • PersonId : 873079
Luis Paris
  • Fonction : Auteur
  • PersonId : 900472

Résumé

This paper is a short survey on four basic questions on Artin-Tits groups: the torsion, the center, the word problem, and the cohomology ($K(\pi,1)$ problem). It is also an opportunity to prove three new results concerning these questions: (1) if all free of infinity Artin-Tits groups are torsion free, then all Artin-Tits groups will be torsion free; (2) If all free of infinity irreducible non-spherical type Artin-Tits groups have a trivial center then all irreducible non-spherical type Artin-Tits groups will have a trivial center; (3) if all free of infinity Artin-Tits groups have solutions to the word problem, then all Artin-Tits groups will have solutions to the word problem. Recall that an Artin-Tits group is free of infinity if its Coxeter graph has no edge labeled by $\infty$.
Fichier principal
Vignette du fichier
ElementQuest.pdf (149.06 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00590858 , version 1 (05-05-2011)

Identifiants

Citer

Eddy Godelle, Luis Paris. Basic Questions on Artin-Tits groups. 2011. ⟨hal-00590858⟩
139 Consultations
447 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More