Smallest nontrivial quotients of the commutator subgroup of braid groups
Geometric Topology
2021-10-06 v1 Group Theory
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.
Cite
@article{arxiv.2110.01782,
title = {Smallest nontrivial quotients of the commutator subgroup of braid groups},
author = {Sudipta Kolay},
journal= {arXiv preprint arXiv:2110.01782},
year = {2021}
}