ScalingStacks

Proof. Assume first that $G$ is connected. By (3.7) it suffices to show that the higher Chow groups in (3.7) vanish for $i\neq 0.$ This holds by Lemma  3.1 using $k=\overline{\mathbb{F}}_{p}.$ Again, the statement for $G$ not connected follows from [SVW18, Section A.2.2]. ∎