论文标题
具有强烈快捷抛物性的相对双曲线组是强烈的捷径
Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut
论文作者
论文摘要
我们表明，相对于捷径强的组具有双曲线本身是强烈的捷径，因此获得了强烈的快捷群体的新示例。证明取决于独立利益的结果：我们表明，每个相对双曲线组都适当地作用于图表上，抛物线亚组适当地作用于凸子图。
We show that a group that is hyperbolic relative to strongly shortcut groups is itself strongly shortcut, thus obtaining new examples of strongly shortcut groups. The proof relies on a result of independent interest: we show that every relatively hyperbolic group acts properly and cocompactly on a graph in which the parabolic subgroups act properly and cocompactly on convex subgraphs.
