Vladimir Shpilrain
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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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.
Key concepts: Mathematics, Braid group, Automorphism, Braid theory, Braid, Faithful representation, Simple (philosophy), Automorphisms of the symmetric and alternating groups