We study the flow $(G({\mathbb{Q}}_p),S_G({\mathbb{Q}}_p))$ of trigonalizable algebraic group acting on its type space, focusing on the problem raised in [17] of whether weakly generic types coincide with almost periodic types if the group has global definable f‐generic types, equivalently whether the union of minimal subflows of a suitable type space is closed. We shall give a description of f‐generic types of trigonalizable algebraic groups, and prove that every f‐generic type is almost periodic.

中文翻译：

---

Qp上可三角化的代数群的可定义拓扑动力学

我们研究流程 $（G（{\mathbb{问}}_p），{\mathrm{小号}}_G（{\mathbb{问}}_p））$三角代数群在其类型空间上的作用，着重于[17]中提出的问题：如果弱泛型类型具有全局可定义的f-泛型类型，则弱泛型类型是否与几乎周期性的类型一致；等效地，是否适合的最小子流的并集类型空间已关闭。我们将对可三角化的代数群的f泛型类型进行描述，并证明每个f泛型类型几乎都是周期的。