Geodesic
On metabelian groups with derived quotient an elementary abelian $2$-group of rank~$3$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 361-375.

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Necessary and sufficient conditions in terms of rank and exponent for the existence of torsion-free metabelian groups with derived quotient an elementary abelian $p$-group of rank $k$ are formulated. 
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V. V. Bludov; L. V. Dolbak. On metabelian groups with derived quotient an elementary abelian $2$-group of rank~$3$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 361-375. http://geodesic.mathdoc.fr/item/SEMR_2007_4_a22/

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