 Galois module (source code)

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= 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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