Lower central series for surface braid groups

Paolo Bellingeri (1) , Sylvain Gervais (2) , John Guaschi (3)

1 Dipartimento di Matematica L. Tonelli
2 LMJL - Laboratoire de Mathématiques Jean Leray
3 LEP - Laboratoire Émile Picard

We determine the lower central series and corresponding residual properties for braid groups and pure braid groups of orientable surfaces.

Mots clés: Lower central series; surface braids; Torelli groups

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Paolo Bellingeri, Sylvain Gervais, John Guaschi. Lower central series for surface braid groups. 2005. ⟨hal-00015415v1⟩