Finite quotients of braid groups

被引：7

作者：

Chudnovsky, Alice ^{[1
]}

Kordek, Kevin ^{[2
]}

Li, Qiao ^{[3
]}

Partin, Caleb ^{[2
]}

机构：

[1] Univ Illinois, Dept Math, 1409 W Green St,MC-382, Urbana, IL 61801 USA

[2] Georgia Inst Technol, Sch Math, 686 Cherry St, Atlanta, GA 30332 USA

[3] Univ Calif Berkeley, Dept Math, 970 Evans Hall 3840, Berkeley, CA 94720 USA

来源：

GEOMETRIAE DEDICATA | 2020年 / 207卷 / 01期

基金：

美国国家科学基金会;

关键词：

Braid groups; Mapping class groups; Geometric group theory;

D O I：

10.1007/s10711-019-00505-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：409 / 416

页数：8

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