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hal-00603304, version 1

Exact sequences, lower central series and representations of surface braid groups

Paolo BELLINGERI 1, Eddy Godelle 1, John Guaschi () 1

(2011-06-24)

Abstract: We consider exact sequences and lower central series of surface braid groups and we explain how they can prove to be useful for obtaining representations for surface braid groups. In particular, using a completely algebraic framework, we describe the notion of extension of a representation introduced and studied recently by An and Ko and independently by Blanchet.

  • 1:  Laboratoire de Mathématiques Nicolas Oresme (LMNO)
  • CNRS : UMR6139 – Université de Caen Basse-Normandie
  • Domain : Mathematics/Geometric Topology
    Mathematics/Group Theory
  • Keywords : surface braid groups – linear representations of braid groups
  • Comment : 23 pages – 4 figures
 
  • hal-00603304, version 1
  • http://hal.archives-ouvertes.fr/hal-00603304
  • oai:hal.archives-ouvertes.fr:hal-00603304
  • From: John Guaschi <>
  • Submitted on: Friday, 24 June 2011 15:34:36
  • Updated on: Friday, 24 June 2011 16:49:15