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Pseudofinite abelian groups and asymptotic classes of finite abelian groups

Cordoba-Caycedo, Carlos et al.
arXiv (All) · Papers
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logic
This paper studies pseudofinite abelian groups and counting properties of definable sets in finite abelian groups and their ultraproducts. First, we characterize pseudofinite abelian groups in terms of Szmielew invariants and, building on results of Macintyre, extend this analysis to obtain a charac
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