Lemma 77.9.5. Let $S$ be a scheme. Let $B$ be an algebraic space over $S$. Let $G$ be a group algebraic space over $B$. Let $X$ be a pseudo $G$-torsor over $B$. Assume $G$ and $X$ locally of finite type over $B$.
If $G \to B$ is unramified, then $X \to B$ is unramified.
If $G \to B$ is locally quasi-finite, then $X \to B$ is locally quasi-finite.