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Preprint Number 1559

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1559. Ningyuan Yao
Definable Topological Dynamics for Trigonalizable Algebraic Groups over Qp

Submission date: 28 January 2019


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

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Full text arXiv 1901.09508: pdf, ps.

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