Convexity of parabolic subgroups in Artin groups

Ruth Charney (1) , Luis Paris (2)

1 Brandeis University
2 IMB - Institut de Mathématiques de Bourgogne [Dijon]

We prove that any standard parabolic subgroup of any Artin group is convex with respect to the standard generating set.

Domaines: Théorie des groupes [math.GR]

Ruth Charney, Luis Paris. Convexity of parabolic subgroups in Artin groups. 2014. ⟨hal-00938564⟩