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Representing braids by automorphisms

Vladimir Shpilrain
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Abstract

Based on a normal form for braid group elements suggested by Dehornoy, we prove several representations of braid groups by automorphisms of a free group to be faithful. This includes a simple proof of the standard Artin's representation being faithful.

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Vladimir Shpilrain. 2002-03-17. Representing braids by automorphisms. https://arxiv.org/abs/math/0203167

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