Strong amenability and the infinite conjugacy class property
成果类型：
Article
署名作者：
Frisch, Joshua; Tamuz, Omer; Ferdowsi, Pooya Vahidi
署名单位：
California Institute of Technology
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-019-00896-z
发表日期：
2019
页码：
833-851
关键词：
摘要：
A group is said to be strongly amenable if each of its proximal topological actions has a fixed point. We show that a finitely generated group is strongly amenable if and only if it is virtually nilpotent. More generally, a countable discrete group is strongly amenable if and only if none of its quotients have the infinite conjugacy class property.