The model theory of finitely generated finite-by-Abelian groups

Journal of Symbolic Logic 49 (4):1115-1124 (1984)
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In [01], we gave algebraic characterizations of elementary equivalence for finitely generated finite-by-abelian groups, i.e. finitely generated FC-groups. We also provided several examples of finitely generated finite-by-abelian groups which are elementarily equivalent without being isomorphic. In this paper, we shall use our previous results to describe precisely the models of the theories of finitely generated finite-by-abelian groups and the elementary embeddings between these models



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Review: H. Jerome Keisler, Model Theory. [REVIEW]C. C. Chang - 1973 - Journal of Symbolic Logic 38 (4):648-648.

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