Definable Topological Dynamics for Trigonalizable Algebraic Groups over Qp
Logic
2019-01-31 v2 Algebraic Geometry
Dynamical Systems
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.
Cite
@article{arxiv.1901.09508,
title = {Definable Topological Dynamics for Trigonalizable Algebraic Groups over Qp},
author = {Ningyuan Yao},
journal= {arXiv preprint arXiv:1901.09508},
year = {2019}
}