MODEL THEORY OF GALOIS ACTIONS OF TORSION ABELIAN GROUPS

Author:

Beyarslan Özlem,Kowalski PiotrORCID

Abstract

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.

Funder

Narodowe Centrum Nauki

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference24 articles.

1. [11] Hrushovski, E. , The Elementary Theory of the Frobenius Automorphisms. Preprint (24 July 2012), available on http://www.ma.huji.ac.il/~ehud/FROB.pdf.

2. Algebra II

3. The Manin–Mumford conjecture and the model theory of difference fields

4. Existentially closed fields with finite group actions

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Galois actions of finitely generated groups rarely have model companions;Bulletin of the London Mathematical Society;2023-12-07

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