Definition 63.14.4. Notation $U \to S$, $G$, $R$ as in Lemma 63.14.3. If the action of $G$ on $U$ satisfies $(*)$ we say $G$ *acts freely* on the scheme $U$. In this case the algebraic space $U/R$ is denoted $U/G$ and is called the *quotient of $U$ by $G$*.

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