Conjugacy problem for braid groups and Garside groups

Mathematics – Geometric Topology

Scientific paper

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New version, with substantial modifications. 21 pages, 2 figures

Scientific paper

We present a new algorithm to solve the conjugacy problem in Artin braid
groups, which is faster than the one presented by Birman, Ko and Lee. This
algorithm can be applied not only to braid groups, but to all Garside groups
(which include finite type Artin groups and torus knot groups among others).

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