Emil Artin
1925
Artinian Braid Group
Joan Birman
1975
A braid is a representation of the movements of points.
Pure Braid: Braid inducing trivial permutation.
Pure Braid Group: Group of pure braids on \(n\)-strands.
Center of \(\mathcal{B}_n\) (\(n \gt 2\)) is \(\langle \Delta^2 \rangle\) where \(\Delta = \sigma_1 (\sigma_2\sigma_1)(\sigma_3\sigma_2\sigma_1)\cdots(\sigma_{n-1}\sigma_{n-2}\cdots\sigma_1).\)
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