MODEL THEORY OF GALOIS ACTIONS OF TORSION ABELIAN GROUPS

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BEYARSLAN Ö., Kowalski P.

Journal of the Institute of Mathematics of Jussieu, cilt.22, sa.6, ss.2943-2985, 2023 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 6
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1017/s1474748022000305
  • Dergi Adı: Journal of the Institute of Mathematics of Jussieu
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2943-2985
  • Anahtar Kelimeler: difference field, Frattini cover, model companion, PrÜfer group
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Boğaziçi Üniversitesi Adresli: Evet

Özet

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.