Characterizing the kernel of the Burau representation modulo 2 for the 4-strand braid group
Group Theory
2023-09-12 v1
Abstract
In 1997, Cooper-Long established the nontriviality of the kernel of the modulo 2 Burau representation for the 4-strand braid group, . This paper extends their work by embedding the image group into a finitely presented group. As an application, we characterize the kernel as the intersection of with a normal closure of a finite number of elements in an HNN extension of .
Cite
@article{arxiv.2309.05547,
title = {Characterizing the kernel of the Burau representation modulo 2 for the 4-strand braid group},
author = {Donsung Lee},
journal= {arXiv preprint arXiv:2309.05547},
year = {2023}
}
Comments
22 pages