Finite quotients of braid groups

Finite quotients of braid groups

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.

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Veröffentlicht in:arXiv.org 2019-12
Hauptverfasser: Chudnovsky, Alice, Kordek, Kevin, Li, Qiao, Partin, Caleb
Format: Artikel
Sprache:eng
Schlagworte:
Braid theory
Braiding
Commutators
Lower bounds
Quotients
Subgroups
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Zusammenfassung: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.
ISSN:2331-8422