English

Finite quotients of braid groups

Geometric Topology 2019-12-12 v3 Group Theory

Abstract

We derive a lower bound on the size of finite non-cyclic quotients of the braid group that is superexponential in the number of strands. We also derive a similar lower bound for nontrivial finite quotients of the commutator subgroup of the braid group.

Keywords

Cite

@article{arxiv.1910.07177,
  title  = {Finite quotients of braid groups},
  author = {Alice Chudnovsky and Kevin Kordek and Qiao Li and Caleb Partin},
  journal= {arXiv preprint arXiv:1910.07177},
  year   = {2019}
}

Comments

7 pages, final version; to appear in Geometriae Dedicata

R2 v1 2026-06-23T11:45:03.632Z