Geodesic
Completely torsion-free, finite-rank, almost decomposable groups with torsion factor
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 61-67

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This paper deals with almost completely decomposable finite rank groups $G$ that have rank $1$ summands of pairwise noncomparable types. It is well known that every such group has unique complete quasi-decomposition $A$ with respect to equality. We consider the number of almost completely decomposable groups $G$ with a given quasi\df decomposition $A$ for which $G/A$ is isomorphic to $\mathbb{Z}(p^m)$. 
@article{FPM_2007_13_3_a8,
     author = {S. F. Kozhukhov and A. C. Tveretin},
     title = {Completely torsion-free, finite-rank, almost decomposable groups with torsion factor},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {61--67},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a8/}
}
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S. F. Kozhukhov; A. C. Tveretin. Completely torsion-free, finite-rank, almost decomposable groups with torsion factor. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 61-67. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a8/