Ishan Banerjee

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math.GR2024

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

Ishan Banerjee, Peter Huxford

We prove for $m \geq 1$ and $n \geq 5$ 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…

Generators for the level m congruence subgroups of braid groups

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