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
收藏
页码：321 / 332
页数：12
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