On freeness of compactly induced mod-$p$ representations of ${\mathrm{SL}}_2(\mathrm{F})$

Arpan Das

Let $p$ be a prime, and $F$ a non-archimedean local field with residue characteristic $p$ and ring of integers ${\mathcal{O}}_F$. Set $G_S:={\mathrm{SL}}_2(F)$and $K_{0}:={\rm SL}_{…