A new approach to the word and conjugacy problems in the braid groups

Details A new approach to the word and conjugacy problems in the braid groups A new approach to the word and conjugacy problems in the braid groups

1997-12-02

arxiv.org/abs/math/9712211v2

Advances Math.139(1998),322-353

Mathematics

Geometric Topology

This updated version of "A new approach to the word problem in the braid groups" contains a new section on the conjugacy probl

Scientific paper

A new presentation of the $n$-string braid group $B_n$ is studied. Using it, a new solution to the word problem in $B_n$ is obtained which retains most of the desirable features of the Garside-Thurston solution, and at the same time makes possible certain computational improvements. We also give a related solution to the conjugacy problem, but the improvements in its complexity are not clear at this writing.

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