  We study the $p$-adic algebraic groups $G$ from the definable
topological-dynamical point of view. We consider the case that $M$ is an
arbitrary $p$-adic closed field and $G$ an algebraic group over ${\mathbb Q}_p$
admitting an Iwasawa decompostion $G=KB$, where $K$ is open and definably
compact over ${\mathbb Q}_p$, and $B$ is a borel subgroup of $G$ over ${\mathbb
Q}_p$. Our main result is an explicit description of the minimal subflow and
Ellis Group of the universal definable $G(M)$-flow $S_G(M^{\text{ext}})$. We
prove that the Ellis group of $S_G(M^{\text{ext}})$ is isomorphic to the Ellis
group of $S_B(M^{\text{ext}})$, which is $B/B^0$.
  As applications, we conclude that the Ellis groups corresponding to
$\text{GL}(n,M)$ and $\text{SL}(n,M)$ are isomorphic to $(\hat {\mathbb Z}
\times {\mathbb Z}_p^*)^n$ and $(\hat {\mathbb Z} \times {\mathbb
Z}_p^*)^{n-1}$ respectively, generalizing the main result of Penazzi, Pillay,
and Yao in Some model theory and topological dynamics of $p$-adic algebraic
groups, Fundamenta Mathematicae, 247 (2019), pp. 191--216.
