Definable topological dynamics for trigonalizable algebraic groups over Q_p

摘要

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.