GOLOD-SHAFAREVICH GROUPS WITH PROPERTY (T) AND KAC-MOODY GROUPS

被引：28

作者：

Ershov, Mikhail ^{[1
]}

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2008年 / 145卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1215/00127094-2008-053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct Golod-Shafarevich groups with property (T) and thus provide counterexamples to a conjecture stated in a recent article of Zelmanov [Z2]. Explicit examples of such groups are given by lattices in certain topological Kac-Moody groups over finite fields. We provide several applications of this result, including examples of residually finite torsion nonamenable groups.

引用

页码：309 / 339

页数：31

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