Distality of Certain Actions on $p$-adic Spheres

Riddhi Shah, Alok Kumar Yadav

Consider the action of $GL(n,{\mathbb{Q}}_p)$ on the $p$-adic unit sphere ${\mathcal{S}}_n$ arising from the linear action on ${\mathbb{Q}}_p^n\setminus \{0\}$. We show that for the actio…