Locally normal subgroups of simple locally compact groups

被引：6

作者：

Caprace, Pierre-Emmanuel ^{[1
]}

Reid, Colin D. ^{[2
]}

Willis, George A. ^{[2
]}

机构：

[1] Catholic Univ Louvain, IRMP, B-1348 Louvain, Belgium

[2] Univ Newcastle, Dept Math, Callaghan, NSW 2308, Australia

来源：

COMPTES RENDUS MATHEMATIQUE | 2013年 / 351卷 / 17-18期

基金：

澳大利亚研究理事会; 欧洲研究理事会;

关键词：

D O I：

10.1016/j.crma.2013.09.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We announce various results concerning the structure of compactly generated simple locally compact groups. We introduce a local invariant, called the structure lattice, which consists of commensurability classes of compact subgroups with open normaliser, and show that its properties reflect the global structure of the ambient group. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：657 / 661

页数：5