Quotients of braid groups by their congruence subgroups
Group Theory
2023-06-13 v2 Algebraic Topology
Geometric Topology
Representation Theory
Abstract
The congruence subgroups of braid groups arise from a congruence condition on the integral Burau representation . We find the image of such congruence subgroups in -an open problem posed by Dan Margalit. Additionally, we characterize the quotients of braid groups by their congruence subgroups in terms of symplectic congruence subgroups.
Cite
@article{arxiv.2209.09889,
title = {Quotients of braid groups by their congruence subgroups},
author = {Wade Bloomquist and Peter Patzt and Nancy Scherich},
journal= {arXiv preprint arXiv:2209.09889},
year = {2023}
}
Comments
Important correction: The previous version incorrectly used the reduced Burau representation