Finiteness properties for relatives of braided Higman-Thompson groups

被引：2

作者：

Skipper, Rachel ^{[1
]}

Wu, Xiaolei ^{[2
]}

机构：

[1] Ecole Normale Super, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France

[2] Fudan Univ, Shanghai Ctr Math Sci, Jiangwan Campus,2005 Songhu Rd, Shanghai 200438, Peoples R China

来源：

GROUPS GEOMETRY AND DYNAMICS | 2023年 / 17卷 / 04期

关键词：

Braided Higman-Thompson groups; ribbon Higman-Thompson groups; topological finiteness properties; MAPPING CLASS-GROUPS; HOMOLOGY; SUBGROUPS; STABILITY;

D O I：

10.4171/GGD/731

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the finiteness properties of the braided Higman-Thompson group bV(d,r)(H) with labels in H <= B-d, and bF(d,r)(H) and bT(d,r)(H) with labels in H <= PBd, where B-d is the braid group with d strings and PBd is its pure braid subgroup. We show that for all d >= 2 and r >= 1, the group bV(d,r)(H) (resp. bT(d,r)(H) or bF(d,r)(H) is of type F-n if and only if H is. Our result in particular confirms a recent conjecture of Aroca and Cumplido.

引用

页码：1357 / 1391

页数：35

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