A new family of infinitely braided Thompson's groups

被引：0
|
作者：
Aroca, Julio [1 ,3 ]
Cumplido, Maria [2 ]
机构：
[1] Univ Autonoma Madrid, Dept Matemat, Madrid 28049, Spain
[2] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Scotland
[3] Inst Ciencias Matemat, Madrid 28049, Spain
来源：
JOURNAL OF ALGEBRA | 2022年 / 607卷
基金：
英国工程与自然科学研究理事会;
关键词：
Thompson groups; Braid groups; Strand diagrams; Rewriting systems;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a generalization of the Dehornoy-Brin braided Thompson group BV2 that uses recursive braids. Our new groups are denoted by BVn,r(H), for all n >= 2, r >= 1 and H <= B-n, where B-n is the braid group on n strands. We give a new approach to deal with braided Thompson groups by using strand diagrams. We show that BVn,r(H) is finitely generated if H is finitely generated. (c) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码：5 / 34
页数：30
相关论文
共 50 条
12345