The n-th root of a braid is unique up to conjugacy
Geometric Topology
2014-10-01 v2 Group Theory
Abstract
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.
Cite
@article{arxiv.math/0306070,
title = {The n-th root of a braid is unique up to conjugacy},
author = {Juan Gonzalez-Meneses},
journal= {arXiv preprint arXiv:math/0306070},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-39.abs.html