Simple groups without lattices

被引：18

作者：

Bader, Uri ^{[1
]}

Caprace, Pierre-Emmanuel ^{[2
]}

Gelander, Tsachik ^{[3
]}

Mozes, Shahar ^{[3
,4
]}

机构：

[1] Technion Israel Inst Technol, Haifa, Israel

[2] UCLouvain, Louvain, Belgium

[3] Hebrew Univ Jerusalem, Jerusalem, Israel

[4] Swiss Fed Inst Technol, Zurich, Switzerland

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2012年 / 44卷

基金：

欧洲研究理事会;

关键词：

PERMUTATION-GROUPS; ORDERS;

D O I：

10.1112/blms/bdr061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know, this is the first such example among (compactly generated) simple locally compact groups.

引用

页码：55 / 67

页数：13

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