THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE FINITELY-PUNCTURED SPHERE

DOI10.1142/S0218216509007117zbMath1215.20036MaRDI QIDQ5324415

John Guaschi, Daciberg Lima Gonçalves

Publication date: 3 August 2009

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

zbMATH Keywords

configuration spacesexact sequenceslower central seriesderived seriessurface braid groupsgeneralized braid groupssphere braid groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

Related Items

ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS ⋮ The lower central and derived series of the braid groups of the projective plane. ⋮ Lower central and derived series of semi-direct products, and applications to surface braid groups ⋮ The lower central and derived series of the braid groups of the sphere

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