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

Published online by Cambridge University Press:  12 March 2014

Francis Oger
Francis Oger*
Affiliation:
Université ParisVII, Paris, France
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Abstract

In [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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 49 , Issue 4 , December 1984 , pp. 1115 - 1124
Copyright
Copyright © Association for Symbolic Logic 1984

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References

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