S-arithmetic spinor groups with the same finite quotients and distinct l2-cohomology

被引：3

作者：

Kammeyer, Holger ^{[1
]}

Sauer, Roman ^{[1
]}

机构：

[1] Karlsruhe Inst Technol, Inst Algebra & Geometry, Dept Math, D-76128 Karlsruhe, Germany

来源：

GROUPS GEOMETRY AND DYNAMICS | 2020年 / 14卷 / 03期

关键词：

l(2)-Betti numbers; profinite completion; S-arithmetic groups; L-2-BETTI NUMBERS; FORMS;

D O I：

10.4171/GGD/566

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we refine examples by Aka from arithmetic to S-arithmetic groups to show that the vanishing of the i-th l(2)-Betti number is not a profinite invariant for all i >= 2.

引用

页码：857 / 869

页数：13

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