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.
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页码：369 / 384
页数：16
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