L2-Betti numbers of one-relator groups

被引：0
|
作者：
Warren Dicks
Peter A. Linnell
机构：
[1] Universitat Autònoma de Barcelona,Departament de Matemàtiques
[2] Virginia Tech,Department of Mathematics
来源：
Mathematische Annalen | 2007年 / 337卷
关键词：
Primary 20F05; Secondary 16S34; Secondary 20J05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We determine the L2-Betti numbers of all one-relator groups and all surface-plus-one-relation groups. We also obtain some information about the L2-cohomology of left-orderable groups, and deduce the non-L2 result that, in any left-orderable group of homological dimension one, all two-generator subgroups are free.
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收藏
页码：855 / 874
页数：19
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