On weakly transitive torsion-free Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 191-194.

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Quasi-homogeneous weakly transitive rank $2$ torsion-free groups are described, and any finite rank torsion-free group with strongly indecomposable pure subgroups is shown to be weakly transitive.
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A. R. Chekhlov. On weakly transitive torsion-free Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 191-194. http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a18/

[1] Dobrusin Yu. B., “O prodolzheniyakh chastichnykh endomorfizmov abelevykh grupp bez krucheniya”, Abelevy gruppy i moduli, 1985, 31–41

[2] Dobrusin Yu. B., “O prodolzheniyakh chastichnykh endomorfizmov abelevykh grupp bez krucheniya”, Abelevy gruppy i moduli, 1986, 36–53

[3] Krylov P. A., Mikhalev A. V., Tuganbaev A. A., Abelevy gruppy i ikh koltsa endomorfizmov, Faktorial, M., 2007

[4] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977

[5] Chekhlov A. R., “O kvaziservantno in'ektivnykh abelevykh gruppakh bez krucheniya”, Abelevy gruppy i moduli, 1989, 139–153 | MR

[6] Chekhlov A. R., “Ob odnom klasse endotranzitivnykh grupp”, Matem. zametki, 69:6 (2001), 944–949 | DOI | Zbl

[7] Chekhlov A. R., “Slabo tranzitivnye E-engelevy abelevy gruppy bez krucheniya”, Matem. zametki, 94:4 (2013), 620–627 | DOI | Zbl

[8] Goldsmith B., Strüngmann L., “Torsion-free weakly transitive Abelian groups”, Commun. Algebra, 33:4 (2005), 1177–1191 | DOI | MR | Zbl

[9] Goldsmith B., Strüngmann L., “Some transitivity results for torsion Abelian groups”, Houston J. Math., 23 (2007), 941–957 | MR