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arXiv · 1901.09508

Definable Topological Dynamics for Trigonalizable Algebraic Groups over Qp

Ningyuan Yao
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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.

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BibTeXRIS

Ningyuan Yao. 2019-01-28. Definable Topological Dynamics for Trigonalizable Algebraic Groups over Qp. https://doi.org/10.13140/rg.2.2.20164.27527

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