Acylindrical hyperbolicity and existential closedness

Autor:	André, Simon
Rok vydání:	2020
Předmět:	Mathematics - Group Theory Mathematics - Logic
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.07220 Zobrazit plný text záznamu View this record from Arxiv