The Model Theory of Finitely Generated Finite-by-Abelian Groups
Oger, Francis
J. Symbolic Logic, Tome 49 (1984) no. 1, p. 1115-1124 / Harvested from Project Euclid
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.
Publié le : 1984-12-14
Classification: 
@article{1183741691,
     author = {Oger, Francis},
     title = {The Model Theory of Finitely Generated Finite-by-Abelian Groups},
     journal = {J. Symbolic Logic},
     volume = {49},
     number = {1},
     year = {1984},
     pages = { 1115-1124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183741691}
}
Oger, Francis. The Model Theory of Finitely Generated Finite-by-Abelian Groups. J. Symbolic Logic, Tome 49 (1984) no. 1, pp.  1115-1124. http://gdmltest.u-ga.fr/item/1183741691/