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{\LARGE\bf A \$100 Problem on the Gassner Representation}\hfill
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  \null\hfill\sheeturl
  \newline\null\hfill modified \today, \ampmtime
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\begin{multicols}{2}
Let $uB_n\coloneqq\langle\sigma_i\colon 1\leq i<n\rangle / (\sigma_i\sigma_j=\sigma_j\sigma_i\text{ when }|i-j|>1 \text{ and }\sigma_i\sigma_{i+1}\sigma_i=\sigma_i\sigma_{i+1}\sigma_i\text{ when }i<n)$ be the usual braid group on $n$ strands.

Let $R=R_n=\bbZ[T_i,T_i^{-1}\colon 1\leq i\leq n]$ be the ring of Laurent polynomials in $n$ variables $T_1,\ldots,T_n$.

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