Geodesic
Torsion-free Abelian groups of rank 3
Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 1-17 
A. A. Fomin. Torsion-free Abelian groups of rank 3. Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 1-17. http://geodesic.mathdoc.fr/item/SM_1991_68_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Torsion-free Abelian groups similar in properties to torsion-free Abelian groups of rank 3, in particular the groups of rank 3 themselves, can be characterized up to quasi-isomorphism by means of certain invariants. From the invariants of each such group one can compute invariants of its pure subgroups and invariants of its factor-groups modulo its pure subgroups. Bibliography: 11 titles.

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[7] Fomin A. A., “Abelevy gruppy s odnim $\tau$-adicheskim sootnosheniem”, Algebra i logika, 28:1 (1989), 83–104 | Zbl

[8] Fomin A. A., O module $\tau$-sootnoshenii abelevoi gruppy bez krucheniya konechnogo ranga, Problemy chistoi i prikladnoi matematiki, Prioksk. kn. izd-vo, Tula, 1988

[9] Richman F., “A class of rank $2$ torsion free groups”, Studies on Abelian Groups, Springer, Paris, 1968, 327–333 | MR

[10] Warfield R., “Homomorphisms and duality for torsion free groups”, Math. Z., 107 (1968), 189–200 | DOI | MR | Zbl

[11] Arnold D., Vinsonhaler C., “Typesets and cotypesets of rank-$2$ torsion free abelian groups”, Pacific J. Math., 114:1 (1984), 1–21 | MR | Zbl