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arXiv · 2110.01782

Smallest nontrivial quotients of the commutator subgroup of braid groups

Sudipta Kolay
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Abstract

We prove that the smallest non-trivial quotients of the commutator subgroups of the braid groups are the alternating groups, proving a conjecture of Chudnovsky-Kordek-Li-Partin. Furthermore, we show that any minimal quotient map is the standard projection, composed with an automorphism of the alternating group.

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Sudipta Kolay. 2021-10-05. Smallest nontrivial quotients of the commutator subgroup of braid groups. https://arxiv.org/abs/2110.01782

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