Smallest nonabelian quotients of surface braid groups

被引：0

作者：

Tan, Cindy ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2024年 / 24卷 / 07期

关键词：

configuration spaces; extraspecial groups; just nilpotent groups; surface braid groups;

D O I：

10.2140/agt.2024.24.3997

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a sharp lower bound on the size of nonabelian quotients of the surface braid group B n (E g ) and classify all quotients that attain the lower bound: depending on n and g , a quotient of minimum order is either a symmetric group or a 2 -step nilpotent p -group.

引用

页码：3997 / 4006

页数：13

共 5 条

[1] On presentations of surface braid groups [J].