Abelian and metabelian quotients of surface braid groups

Abstract

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.

This paper supersedes arXiv:1106.4982. The results of previous paper have been revisited and improved and new results have been added

References in corpus (2)

• The lower central and derived series of the braid groups of the sphere and the punctured sphere
• Faithfulness of the Lawrence representation of braid groups