Geodesic
About isomorphism $G\otimes A\cong G$ for vectorial groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 287-292.

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The necessary and sufficient conditions of isomorphism $G\cong G\otimes A$, where $G$ is a vectorial group and $A$ is a torsion free rank 1 abelian group are found. 
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     author = {E. B. Malyshev and A. M. Sebel'din},
     title = {About isomorphism $G\otimes A\cong G$ for vectorial groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a23/}
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E. B. Malyshev; A. M. Sebel'din. About isomorphism $G\otimes A\cong G$ for vectorial groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 287-292. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a23/