The n-th root of a braid is unique up to conjugacy

Details The n-th root of a braid is unique up to conjugacy The n-th root of a braid is unique up to conjugacy

2003-06-03

arxiv.org/abs/math/0306070v2

Algebr. Geom. Topol. 3 (2003) 1103-1118

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-39.abs.html

Scientific paper

We prove a conjecture due to Makanin: if a and b are elements of the Artin
braid group B_n such that a^k=b^k for some nonzero integer k, then a and b are
conjugate. The proof involves the Nielsen-Thurston classification of braids.

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