Submission date: 28 January 2019

Abstract:

We study the flow (G(Qp); SG(Qp)) 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 will give a description of of f-generic types of trigonalizable algebraic groups, and prove that every f-generic type is almost periodic.

Mathematics Subject Classification: 03C98, 03C60

Keywords and phrases:

Full text arXiv 1901.09508: pdf, ps.