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On the kernel of the Gassner representation

Geometric Topology 2007-05-23 v2 Algebraic Topology Representation Theory

Abstract

We study the Gassner representation of the pure braid group PnP_n by considering its restriction to a free subgroup FF. The kernel of the restriction is shown to lie in the subgroup [Γ3F,Γ2F][\Gamma^3 F,\Gamma^2 F], sharpening a result of Lipschutz.

Keywords

Cite

@article{arxiv.math/0403455,
  title  = {On the kernel of the Gassner representation},
  author = {Kevin P. Knudson},
  journal= {arXiv preprint arXiv:math/0403455},
  year   = {2007}
}

Comments

9 pages, final version to appear in Arch. Math. (Basel)