Intersection of parabolic subgroups in Euclidean braid groups: a short proof
Résumé
We give a short proof for the fact, already proven by Thomas Haettel, that the arbitrary intersection of parabolic subgroups in Euclidean Braid groups A [ A (n) ] is again a parabolic subgroup. To that end, we use that the spherical-type Artin group A [ B (n +1) ] is isomorphic to A [ A (n) ] (sic) Z .