Geodesic
The completion of solvable groups
Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 543-550 
K. K. Andreev. The completion of solvable groups. Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 543-550. http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a7/
@article{MZM_1971_9_5_a7,
     author = {K. K. Andreev},
     title = {The completion of solvable groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {543--550},
     year = {1971},
     volume = {9},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that every noncyclic solvable free group with solvability length exceeding two has isomorphic completions.