The free group of rank 2 is a limit of Thompson's group F

被引：11
|
作者：
Brin, Matthew G. [1 ]
机构：
[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA
来源：
GROUPS GEOMETRY AND DYNAMICS | 2010年 / 4卷 / 03期
关键词：
Thompson's group; limit of marked groups;
D O I：
10.4171/GGD/90
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the free group of rank 2 is a limit of 2-markings of Thompson's group F in the space of all 2-marked groups. More specifically, we find a sequence of generating pairs for F so that as one goes out the sequence, the length of the shortest relation satisfied by the generating pair goes to infinity.
引用
收藏
页码：433 / 454
页数：22
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