Geodesic
Splitting length of Abelian mixed groups of torsion-free rank~1
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 7, pp. 209-221

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Splitting length of a mixed Abelian group $G$ is defined as the smallest positive integer $n$ such that $\bigotimes\limits^nG$ splits. The task of determining the splitting length of mixed Abelian groups was formulated by Irwin, Khabbaz, and Rayna. In this paper, a criterion for determining whether $\bigotimes\limits^nG$ splits for countable mixed Abelian groups $G$ of torsion-free rank 1 is found. 
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     author = {Pham Thi Thu Thuy},
     title = {Splitting length of {Abelian} mixed groups of torsion-free rank~1},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     publisher = {mathdoc},
     volume = {14},
     number = {7},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_7_a17/}
}
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Pham Thi Thu Thuy. Splitting length of Abelian mixed groups of torsion-free rank~1. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 7, pp. 209-221. http://geodesic.mathdoc.fr/item/FPM_2008_14_7_a17/