Hurwitz action on tuples of Euclidean reflections - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2004

Hurwitz action on tuples of Euclidean reflections

Résumé

We show that if a tuple of Euclidean reflections has a finite orbit under the Hurwitz action of the Artin braid group, then the group generated by these reflections is finite. Humphries has published a similar statement but his proof is irremediably flawed. At the same time as correcting his proof, our proof is much simpler that Dubrovin and Mazocco's proof for triples of reflections.
Fichier principal
Vignette du fichier
huang.pdf (83.51 Ko) Télécharger le fichier

Dates et versions

hal-00003068 , version 1 (13-10-2004)

Identifiants

Citer

Jean Michel. Hurwitz action on tuples of Euclidean reflections. 2004. ⟨hal-00003068⟩
190 Consultations
194 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More