具有强捷径抛物子群的相对双曲群是强捷径群
Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut
AI总结：
本文证明了相对于强捷径群为双曲的群本身也是强捷径群，获得了该群的新例子，并证明了相对双曲群及其抛物子群在图上的余紧作用性质。
摘要：
我们证明了一个相对于强捷径群为双曲的群本身也是强捷径的，从而获得了强捷径群的新例子。证明依赖于一个独立意义的结果：我们证明了每个相对双曲群都恰当且余紧地作用在一个图上，其中抛物子群恰当且余紧地作用在凸子图上。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
