Abelian and metabelian quotients of surface braid groups

Paolo Bellingeri (1) , Eddy Godelle (1) , John Guaschi (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

In this paper we study abelian and metabelian quotients of braid groups on oriented surfaces with boundary components. We provide group presentations and we prove rigidity results for these quotients arising from exact sequences related to (generalised) Fadell-Neuwirth fibrations.

Mots clés: surface braid groups; lower central series

Domaines: Théorie des groupes [math.GR]

Paolo Bellingeri, Eddy Godelle, John Guaschi. Abelian and metabelian quotients of surface braid groups. 2014. ⟨hal-00965389⟩