论文标题
不符合群体的载臂不强烈稳定
Lamplighters over non-amenable groups are not strongly Ulam stable
论文作者
论文摘要
我们证明，阿贝尔群体的花圈产物和一个不可分割的群体并非强烈稳定。此前，由于Kazhdan的工作，由于汉堡，Ozawa和Thom的工作以及某些表面组的工作，这是由于包含自由亚组的群体而闻名的。我们还表明，这些花圈产品不是刚性变形。
We prove that a wreath product of an abelian group and a non-amenable group is not strongly Ulam stable. Previously this was known for groups containing free subgroups, due to work of Burger, Ozawa and Thom, and for some surface groups, due to work by Kazhdan. We also show that these wreath products are not deformation rigid.
