Geodesic
The isomorphism problem for solvable groups
Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 437-443 
A. S. Kirkinskii; V. N. Remeslennikov. The isomorphism problem for solvable groups. Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 437-443. http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a12/
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     author = {A. S. Kirkinskii and V. N. Remeslennikov},
     title = {The isomorphism problem for solvable groups},
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     pages = {437--443},
     year = {1975},
     volume = {18},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a12/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the algorithmic isomorphism problem is solved negatively for solvable groups of length $\ge7$.