Pure infinitely braided Thompson groups

被引：0

作者：

Cumplido, Maria ^{[1
]}

机构：

[1] Univ Seville, Fac Matemat, Departmento Algebra, Calle Tarfia S-N, Seville 41012, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 12期

关键词：

Braid groups; finitely generated groups; orderings; pure braid groups; Thompson groups; ORDERINGS; SUBGROUPS; ALGEBRA; STRAND;

D O I：

10.1080/00927872.2024.2366378

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that pure subgroups of infinitely braided Thompson's are bi-orderable. For every finitely generated pure subgroup, we give explicit sets of generators.

引用

页码：5125 / 5137

页数：13

共 47 条

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[38] On the oriented Thompson subgroup (F)over-right-arrow3 and its relatives in higher Brown-Thompson groups
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JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (07)
[39] The BNS-invariant for the pure braid groups
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GROUPS GEOMETRY AND DYNAMICS, 2015, 9 (03) : 665 - 682
[40] Cohomology of Pure Braid Groups of exceptional cases
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