双曲群真作用的泛空间模型
A Model for the Universal Space for Proper Actions of a Hyperbolic Group
摘要：
设$G$是Gromov意义下的字双曲群，$P$是它的Rips复形.证明了不动点集$P^H$对$G$的每个有限子群$H$都是可压缩的.这是证明$P$是真作用的普适空间$e.g.$的有限模型的主要成分。作为推论，我们得到了双曲群的有限子群的共轭类只有2个。
英文摘要：
Let $G$ be a word hyperbolic group in the sense of Gromov and $P$ its associated Rips complex. We prove that the fixed point set $P^H$ is contractible for every finite subgroups $H$ of $G$. This is the main ingredient for proving that $P$ is a finite model for the universal space $e.g.$ of proper actions. As a corollary we get that a hyperbolic group has only finitely many conjugacy classes of finite subgroups.
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。
