From pure braid groups to hyperbolic groups

被引：0

作者：

Chen, Lei ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

ENSEIGNEMENT MATHEMATIQUE | 2025年 / 71卷 / 1-2期

关键词：

braid groups; hyperbolic groups; SURFACE; SUPERRIGIDITY;

D O I：

10.4171/LEM/1068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we show that any homomorphism from a pure surface braid group to a torsion-free hyperbolic group either has a cyclic image or factors through a forgetful map. This extends and gives a new proof of an earlier (2019) result of the author which works only when the target is a free group or a surface group. We also prove a similar rigidity result for the pure braid group of the disk.

引用

页码：71 / 85

页数：15

共 14 条

[1]

Bridson M. R., 2010, London Math. Soc. Lecture Note Ser ., V368, P1

[2]

Brown K., 1982, Cohomology of Groups

[3] Surjective homomorphisms between surface braid groups [J].