Hurwitz action on tuples of Euclidean reflections
Michel, Jean
HAL, hal-00003068 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-10-13
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT] 
@article{hal-00003068,
     author = {Michel, Jean},
     title = {Hurwitz action on tuples of Euclidean reflections},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003068}
}

Michel, Jean. Hurwitz action on tuples of Euclidean reflections. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003068/