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On the kernel of the Gassner representation

Kevin P. Knudson
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Abstract

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 $[Γ^3 F,Γ^2 F]$, sharpening a result of Lipschutz.

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Kevin P. Knudson. 2004-11-23. On the kernel of the Gassner representation. https://arxiv.org/abs/math/0403455

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