Model theory of Galois actions of torsion Abelian groups.
2020
We show that the theory of Galois actions of a torsion Abelian group $A$ is companionable if and only if for each prime $p$, the $p$-primary part of $A$ is either finite or it coincides with the Prufer $p$-group. We also provide a model-theoretic description of the model companions we obtain.
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