On the profinite rigidity of lattices in higher rank Lie groups

被引：1

作者：

Kammeyer, Holger ^{[1
]}

Kionke, Steffen ^{[2
]}

机构：

[1] Heinrich Heine Univ Dusseldorf, Math Inst, Bldg 25-22,Univ Str 1, D-40225 Dusseldorf, Germany

[2] Fernuniv, Fak Math & Informat, Univ Str 1, D-58097 Hagen, Germany

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2023年 / 174卷 / 02期

关键词：

22E40; 20E18; COMMENSURABILITY; EXISTENCE; SUBGROUPS; FORMS;

D O I：

10.1017/S0305004122000305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate which higher rank simple Lie groups admit profinitely but not abstractly commensurable lattices. We show that no such examples exist for the complex forms of type E-8, F-4, and G(2). In contrast, there are arbitrarily many such examples in all other higher rank Lie groups, except possibly SL2n+1 (R), SL2n+1 (C), SLn(H), or groups of type E-6.

引用

页码：369 / 384

页数：16

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