On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent

zbMath0974.03033MaRDI QIDQ1589928

Carlo Toffalori

Publication date: 7 December 2001

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_2000__103__113_0

zbMATH Keywords

infinite groupselementary equivalencefinite axiomatizabilitydirect sumelementary abelian \(p\)-groupabelian normal subgroupelementary group

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Periodic groups; locally finite groups (20F50) Model-theoretic algebra (03C60)

Cites Work

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• Équivalence élémentaire entre groupes finis-par-abéliens de type fini
• On the elementarity of some classes of abelian-by-infinite groups
• An elementary class extending abelian-by-\(G\) groups, for \(G\) infinite
• Axiomatization of abelian-by-\(G\) groups for a finite group \(G\)
• Stability of nilpotent groups of class 2 and prime exponent
• Decidability and stability of free nilpotent lie algebras and free nilpotent p-groups of finite exponent

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