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This work was done while the first author enjoyed the hospitality of the Mathematics Institute at Freiburg as an Alexander von Humboldt Fellow.
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Lennox, J.C., Wilson, J.S. On products of subgroups in polycyclic groups. Arch. Math 33, 305–309 (1979). https://doi.org/10.1007/BF01222760
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DOI: https://doi.org/10.1007/BF01222760