The commutator subgroup of the braid group is generated by two elements

Autor:	Kordek, Kevin
Rok vydání:	2019
Předmět:	Mathematics - Geometric Topology Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	For $n$ at least 7 and $n$ equal to 5, we give generating sets of size 2 for the commutator subgroup of the braid group on $n$ strands. These generating sets are of the smallest possible cardinality. For $n$ equal to 4 or 6, we give generating sets of size three. We also prove that the commutator subgroup of the braid group on 4 strands cannot be generated by fewer than three elements. Comment: 8 pages, 1 figure; final version; to appear in Proc. Amer. Math. Soc
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.06944 Zobrazit plný text záznamu View this record from Arxiv