Geodesic
Dimension subgroups of extensions with an~Abelian kernel
Sbornik. Mathematics, Tome 187 (1996) no. 5, pp. 685-691

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It is known that the dimension subgroup problem can be solved affirmatively in the class of groups whose lower central series quotients are torsion-free. In this paper it is proved that the same result is true for an arbitrary extension of a group belonging to this class by an Abelian group. 
@article{SM_1996_187_5_a3,
     author = {Yu. V. Kuz'min},
     title = {Dimension subgroups of extensions with {an~Abelian} kernel},
     journal = {Sbornik. Mathematics},
     pages = {685--691},
     publisher = {mathdoc},
     volume = {187},
     number = {5},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1996_187_5_a3/}
}
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Yu. V. Kuz'min. Dimension subgroups of extensions with an~Abelian kernel. Sbornik. Mathematics, Tome 187 (1996) no. 5, pp. 685-691. http://geodesic.mathdoc.fr/item/SM_1996_187_5_a3/