Lemma 78.10.2. Let $k$ be a field. Let $G$ be a group algebraic space over $k$. If $G$ is separated and locally of finite type over $k$, then $G$ is a scheme.

Proof. This follows from Lemma 78.10.1, Groupoids, Lemma 39.8.6, and Spaces over Fields, Lemma 71.10.7. $\square$

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