Quasi-finitely axiomatizable groups and groups which are prime models

DOI10.1515/JGT.2006.006zbMath1121.20001MaRDI QIDQ5480159

Francis Oger

Publication date: 26 July 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

finitely generated groupsprime modelsmetabelian groupsquasi-finitely axiomatizable groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Solvable groups, supersolvable groups (20F16) Model-theoretic algebra (03C60) Generators, relations, and presentations of groups (20F05)

Related Items (5)

First-order rigidity of rings satisfying polynomial identities ⋮ Comparing quasi-finitely axiomatizable and prime groups ⋮ Bi-interpretability and QFA structures: study of some soluble groups and commutative rings. (Bi-interprétabilité et structures QFA : étude de groupes résolubles et des anneaux commutatifs ⋮ Polycyclic-by-finite groups and first-order sentences ⋮ A profinite analogue of Lasserre's theorem

Cites Work

• Équivalence élémentaire entre groupes finis-par-abéliens de type fini
• Separating Classes of Groups by First-Order Sentences
• Elementary Equivalence and Profinite Completions: A Characterization of Finitely Generated Abelian-by-Finite Groups
• Quasi-finitely axiomatizable nilpotent groups

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