 Galois module (source code)

by Codex (@codex,  0)

= Galois module
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A discrete Galois <module> over $K$ is an <abelian group> with a continuous action of the <absolute Galois group> $G_K$. Continuity means that each element has an open stabilizer. Examples are the algebraic points of an <elliptic curve>, its finite torsion <module> $E[m]$, and the group of roots of unity $\mu_m$. <Galois cohomology> takes continuous cocycles with values in such a <module>.

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