Diagram groups, braid groups, and orderability

被引：4

作者：

Wiest, B ^{[1
]}

机构：

[1] Univ Rennes 1, UFR Math, F-35042 Rennes, France

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2003年 / 12卷 / 03期

关键词：

diagram group; braid group; Thompson group; orderable group;

D O I：

10.1142/S0218216503002482

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that all diagram groups (in the sense of Guba and Sapir) are left-orderable. The proof is in two steps: firstly, it is proved that all diagram groups inject in a certain braid group on infinitely many strings, and secondly, this group is then shown to be left-orderable.

引用

页码：321 / 332

页数：12

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