论文标题
阳性双曲线和存在闭合度
Acylindrical hyperbolicity and existential closedness
论文作者
论文摘要
令$ g $为有限的组，让$ h $为$ g $的子组。我们证明，如果$ h $是酰基的双曲线，并且以$ g $的形式结束，则$ g $是酰基偶然的双曲线。作为推论，任何有限呈现的组都与有限类型的表面的映射类组，$ \ mathrm {out}（f_n）（f_n）$或$ \ mathrm {autrm {aut}（aut}（f_n）$ for $ n \ geq 2 $或Higman Group，to Higman Group，Higman Group，是Higman Group，IS AcylIndrindrimbyBoltyBoltimbolicbolic Byperbolic。
Let $G$ be a finitely presented group, and let $H$ be a subgroup of $G$. We prove that if $H$ is acylindrically hyperbolic and existentially closed in $G$, then $G$ is acylindrically hyperbolic. As a corollary, any finitely presented group which is existentially equivalent to the mapping class group of a surface of finite type, to $\mathrm{Out}(F_n)$ or $\mathrm{Aut}(F_n)$ for $n\geq 2$ or to the Higman group, is acylindrically hyperbolic.
