 Characteristic p Galois dimension bound (source code)

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= Characteristic p Galois dimension bound
{title2=$\operatorname{cd}_p(K)\le1$}

A field of characteristic $p$ satisfies $\operatorname{cd}_p(K)\le1$. The Artin-Schreier sequence and vanishing of positive-degree cohomology of the additive separable-closure module yield the bound. It concerns discrete $p$-primary modules; it does not assert that the $p$-primary <Brauer group> vanishes.

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