On residual properties of pure braid groups of closed surfaces

Valerij G. Bardakov (1) , Paolo Bellingeri (2)

1 Sobolev Institute of Mathematics
2 Dipartimento Matematica e Applicazioni

We prove that pure braid groups of closed surface are almost-direct products of residually torsion free nilpotent groups and hence residually torsion free nilpotent. As a Corollary, we prove also that braid groups on $2$ strands of closed surfaces are residually nilpotent.

Mots clés: Braid groups; residual properties

Domaines: Théorie des groupes [math.GR]

Valerij G. Bardakov, Paolo Bellingeri. On residual properties of pure braid groups of closed surfaces. 2007. ⟨hal-00150073⟩