On the existence of admissible supersingular representations of $p$-adic reductive groups

Florian Herzig, Karol Koziol, Marie-France Vignéras

Suppose that $\mathbf{G}$ is a connected reductive group over a finite extension $F/{\mathbb{Q}}_p$, and that $C$ is a field of characteristic $p$. We prove that the group $\mathbf{G…