Abelian \(p\)-groups with no invariants

DOI10.1016/0022-4049(93)90068-5zbMath0786.03025OpenAlexW2074666012MaRDI QIDQ1802148

Yanyan Li

Publication date: 5 May 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90068-5

zbMATH Keywords

Abelian \(p\)-groupsstable theoryHahn powernon-structure theoremtwo-player Ehrenfeucht- Fraïssé game

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Torsion groups, primary groups and generalized primary groups (20K10) Other infinitary logic (03C75)

Related Items

Infinitary equivalence of \(\mathbb{Z}_p\)-modules with nice decomposition bases, Almost free groups and long Ehrenfeucht-Fraïssé games

Cites Work

• Constructing strongly equivalent nonisomorphic models for unstable theories
• Vector spaces with valuations
• On Scott and Karp trees of uncountable models
• On Ehrenfeucht-Fraïssé equivalence of linear orderings
• Four concepts from “geometrical” stability theory in modules
• Infinitary logic and admissible sets
• Infinitary properties of abelian torsion groups
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