Polycyclic groups, finite images, and elementary equivalence

DOI10.1007/BF01196851zbMath0702.20001OpenAlexW2024762423MaRDI QIDQ914824

Gabriel Sabbagh, John S. Wilson

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196851

zbMATH Keywords

polycyclic groupelementary equivalencefinitely generated groupfinite imagesfinitely generated residually finite group

Mathematics Subject Classification ID

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

Related Items (2)

Torus bundles not distinguished by TQFT invariants. With an appendix by Louis Funar and Andrei Rapinchuk ⋮ Polycyclic-by-finite groups and first-order sentences

Cites Work

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• Équivalence élémentaire entre groupes finis-par-abéliens de type fini
• Model theory
• On the isomorphism problem for polycyclic groups
• On the Finiteness of Certain Soluble Groups
• Elementary equivalence and isomorphism of finitely generated nilpotent groups
• Shorter Notes: Representations of Polycyclic Groups
• Finiteness Conditions for Soluble Groups

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