Published January 1, 2022
| Version v1
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MODEL THEORY OF GALOIS ACTIONS OF TORSION ABELIAN GROUPS
Creators
- 1. Bogazici Univ, Matemat Bolumu, TR-34342 Istanbul, Turkey
- 2. Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2, PL-50384 Wroclaw, Poland
Description
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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