English

Conjugacy problem for braid groups and Garside groups

Geometric Topology 2007-05-23 v2 Algebraic Topology Group Theory

Abstract

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).

Keywords

Cite

@article{arxiv.math/0112310,
  title  = {Conjugacy problem for braid groups and Garside groups},
  author = {Nuno Franco and Juan Gonzalez-Meneses},
  journal= {arXiv preprint arXiv:math/0112310},
  year   = {2007}
}

Comments

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