Generators for the level $m$ congruence subgroups of braid groups

Ishan Banerjee, Peter Huxford

We prove for $m\ge 1$ and $n\ge 5$ that the level $m$ congruence subgroup $B_n[m]$ of the braid group $B_n$ associated to the integral Burau representation $B_n\to\mathrm{GL}_n(\ma…