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Definable topological dynamics for trigonalizable algebraic groups over Qp
Mathematical Logic Quarterly ( IF 0.4 ) Pub Date : 2019-10-07 , DOI: 10.1002/malq.201900009
Ningyuan Yao 1
Affiliation  

We study the flow ( G ( Q p ) , S G ( 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 p 小号 G 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。
更新日期:2019-10-07
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