Strong amenability and the infinite conjugacy class property
Strong amenability and the infinite conjugacy class property
复制标题
强大的顺应性和无限的共轭类属性
DOI：
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发表时间：
2018
影响因子：
3.1
通讯作者：
Pooya Vahidi Ferdowsi
中科院分区：
文献类型：
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作者：
Joshua Frisch;O. Tamuz;Pooya Vahidi Ferdowsi
如果一个群的每个最近的拓扑作用都有一个固定点，则称它是强顺从的。我们证明了有限生成群是强顺从的当且仅当它是几乎幂零的。更一般地，一个可数离散群是强服从的当且仅当它的商都不具有无限共轭类性质。
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.