Lower central series for surface braid groups

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

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 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. Journal of Algebra, 2008, 319 (4), pp.1409-1427. ⟨hal-00015415v2⟩