Submission date: 4 march 2020

Abstract:

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 Prüfer p-group. We also provide a model-theoretic description of the model companions we obtain.

Mathematics Subject Classification: Primary 03C60, Secondary 12H10, 11S20, 20E18

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Full text arXiv 2003.02329: pdf, ps.