Quasi-isometric Embeddings from Generalised Thompson's Groups to Thompson's Group T

被引：1

作者：

Sheng, Xiaobing ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, 1 Chome 8-1,Komaba,Meguro, Tokyo 1538914, Japan

来源：

TOKYO JOURNAL OF MATHEMATICS | 2022年 / 45卷 / 02期

关键词：

Thompson?s group; quasi-isometric embedding;

D O I：

10.3836/tjm/1502179371

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Brown has defined generalised Thompson's groups Fn, Tn, Vn where n is an integer at least 2 and Thompson's groups F = F2, T = T2, V = V2 in the 80's. Burillo, Cleary and Stein have found that there is a quasi-isometric embedding from Fn to Fm where n and m are positive integers at least 2. We show that there is a quasi-isometric embedding from Tn to T2 for any n > 2 and no embeddings from T2 to Tn for n > 3.

引用

页码：451 / 465

页数：15

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