Congruence subgroups of braid groups
Group Theory
2016-09-20 v1
Abstract
In this paper we give a description of the generators of the prime level congruence subgroups of braid groups. Also, we give a new presentation of the symplectic group over a finite field, and we calculate symmetric quotients of the prime level congruence subgroups of braid groups. Finally, we find a finite generating set for the level-3 congruence subgroup of the braid group on 3 strands.
Cite
@article{arxiv.1609.05673,
title = {Congruence subgroups of braid groups},
author = {Charalampos Stylianakis},
journal= {arXiv preprint arXiv:1609.05673},
year = {2016}
}
Comments
16 pages, 6 figures