The Chabauty space of ${\mathbb{Q}}_p^{\times }$

Antoine Bourquin, Alain Valette

Let $\mathcal{C}(G)$ denote the Chabauty space of closed subgroups of the locally compact group $G$. In this paper, we first prove that $\mathcal{C}({\mathbb{Q}}_p^{\times })$ is a pro…