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arXiv:math/0403455 [math.GT]AbstractReferencesReviewsResources

On the kernel of the Gassner representation

Kevin P. Knudson

Published 2004-03-26, updated 2004-11-23Version 2

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.

Comments: 9 pages, final version to appear in Arch. Math. (Basel)
Categories: math.GT, math.AT, math.RT
Subjects: 20F36
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