环面相对双曲群中的塔与初等嵌入
Towers and elementary embeddings in toral relatively hyperbolic groups
摘要：
在一个显着的一系列文件，Zlil Sela分类的一阶理论的自由群和扭转自由双曲群使用几何结构，他呼吁塔。后来Chloé Perin证明了，如果$H$是无挠双曲群$G$的初等嵌入子群（或初等子模型），则$G$是$H$上的塔。我们证明了推广Perin的结果，以toral相对双曲群使用JSJ和缩短技术。
英文摘要：
In a remarkable series of papers, Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers. It was later proved by Chloé Perin that if $H$ is an elementarily embedded subgroup (or elementary submodel) of a torsion-free hyperbolic group $G$, then $G$ is a tower over $H$. We prove a generalization of Perin's result to toral relatively hyperbolic groups using JSJ and shortening techniques.
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