The model theory of finitely generated finite-by-abelian groups
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AbstractIn [O1], 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.
1998 ◽
Vol 58
(3)
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pp. 479-493
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2011 ◽
Vol 10
(03)
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pp. 377-389
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2009 ◽
Vol 42
(1)
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pp. 130-136
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