Hurwitz action on tuples of Euclidean reflectionsReport as inadecuate




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1 IMJ - Institut de Mathématiques de Jussieu 2 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

Abstract : 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.





Author: Jean Michel -

Source: https://hal.archives-ouvertes.fr/



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