Smallest nontrivial quotients of the commutator subgroup of braid groups

Autor:	Kolay, Sudipta
Rok vydání:	2021
Předmět:	Mathematics - Geometric Topology Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.01782 Zobrazit plný text záznamu View this record from Arxiv