The strong Atiyah conjecture for right-angled Artin and Coxeter groups

被引：11

作者：

Linnell, Peter ^{[2
]}

Okun, Boris ^{[1
]}

Schick, Thomas ^{[3
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

[2] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[3] Univ Gottingen, Inst Math, D-3400 Gottingen, Germany

来源：

GEOMETRIAE DEDICATA | 2012年 / 158卷 / 01期

关键词：

Coxeter group; Atiyah conjecture; Artin group; Residually torsion-free nilpotent;

D O I：

10.1007/s10711-011-9631-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the strong Atiyah conjecture for right-angled Artin groups and right-angled Coxeter groups. More generally, we prove it for groups which are certain finite extensions or elementary amenable extensions of such groups.

引用

页码：261 / 266

页数：6

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