On the kernel of the Gassner representation

Details On the kernel of the Gassner representation On the kernel of the Gassner representation

2004-03-26

arxiv.org/abs/math/0403455v2

Mathematics

Geometric Topology

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

Scientific paper

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

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