论文标题
成为较高等级的晶格是一阶属性吗？
Is being a higher rank lattice a first order property?
论文作者
论文摘要
We show that there is a sentence $φ$ in the first order language of groups such that a finitely generated group $Γ$ satisfies $φ$ if and only if $Γ$ is isomorphic to a group of the form $\mathrm{PSL}_n(O)$, where $n \geq 3$ and $O$ is a ring of $S$-integers in a number field.
We show that there is a sentence $φ$ in the first order language of groups such that a finitely generated group $Γ$ satisfies $φ$ if and only if $Γ$ is isomorphic to a group of the form $\mathrm{PSL}_n(O)$, where $n \geq 3$ and $O$ is a ring of $S$-integers in a number field.
