A new family of infinitely braided Thompson's groups

被引：5

作者：

Aroca, Julio ^{[1
,2
]}

Cumplido, Maria ^{[3
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, Madrid 28049, Spain

[2] Inst Ciencias Matemat, Madrid 28049, Spain

[3] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

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; ALGEBRA; STRAND;

D O I：

10.1016/j.jalgebra.2020.07.021

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

页码：5 / 34

页数：30

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