论文标题
相对双曲基团的双重性
Bi-exactness of relatively hyperbolic groups
论文作者
论文摘要
我们证明,只有当所有外围亚组都是双重的,只有有限生成的相对双曲线群是双重的。这是Ozawa的结果的概括,该结果声称如果所有外围亚组都是可amen的,则有限生成的相对双曲线是双重的。
We prove that finitely generated relatively hyperbolic groups are bi-exact if and only if all peripheral subgroups are bi-exact. This is a generalization of Ozawa's result which claims that finitely generated relatively hyperbolic groups are bi-exact if all peripheral subgroups are amenable.