Lemma 29.35.2. Let $f : X \to S$ be a morphism of schemes. Then

$f$ is unramified if and only if $f$ is locally of finite type and $\Omega _{X/S} = 0$, and

$f$ is G-unramified if and only if $f$ is locally of finite presentation and $\Omega _{X/S} = 0$.

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