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math.GR2007
Efficient solutions to the braid isotopy problem
Patrick Dehornoy
We describe the most efficient solutions to the word problem of Artin's braid group known so far, i.e., in other words, the most efficient solutions to the braid isotopy problem, i…
math.GR2007
Alternating normal forms for braids and locally Garside monoids
Patrick Dehornoy
We describe new types of normal forms for braid monoids, Artin-Tits monoids, and, more generally, for all monoids in which divisibility has some convenient lattice properties (``lo…