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On injectivity of Cohen-Wu homomorphism
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On injectivity of Cohen-Wu homomorphism
classification
math.GR
keywords
algebrasapproachbraidscohen-wuconstructionelementarygivegroup
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We give a new elementary proof of the theorem that a natural map from Milnor's construction $F[S^1]$ to the simplicial group $\mathrm{AP}$ of pure braids is injective. Our approach is group-theoretic and does not rely on Lie algebras.
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