Definably topological dynamics of p-adic algebraic groups
نویسندگان
چکیده
We study the p-adic algebraic groups G from definable topological-dynamical point of view. consider case where M is an arbitrary closed field and group over Qp admitting Iwasawa decompostion G=KB, K open definably compact Qp, B a Borel subgroup Qp. Our main result explicit description minimal subflow Ellis universal G(M)-flow SG(Mext). prove that SG(Mext) isomorphic to SB(Mext), which B/B0. As applications, we conclude corresponding GL(n,M) SL(n,M) are (Zˆ×Zp⁎)n (Zˆ×Zp⁎)n−1 respectively, generalizing Penazzi, Pillay, Yao in [21].
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2022
ISSN: ['0168-0072', '1873-2461']
DOI: https://doi.org/10.1016/j.apal.2021.103077