论文标题
有限生成的交点属性的失败，用于上升的HNN扩展
Failure of the finitely generated intersection property for ascending HNN extensions of free groups
论文作者
论文摘要
本文的主要结果是，有限生成的交点属性（FGIP）的失败是非循环有限秩的无限等级组的上升HNN扩展。这类小组由逐一的群体组成，并正确上升了自由组的HNN扩展。我们还为在相对双曲线的背景下为FGIP失败提供了足够的条件，我们将其应用于指数级增长的自由循环群。
The main result in this paper is the failure of the finitely generated intersection property (FGIP) of ascending HNN extensions of non-cyclic finite rank free groups. This class of group consists of free-by-cyclic groups and properly ascending HNN extensions of free groups. We also give a sufficient condition for the failure of the FGIP in the context of relative hyperbolicity, we apply this to free-by-cyclic groups of exponential growth.
