Geodesic
Some residual properties of polycyclic groups and split extensions
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 4, pp. 3-10

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It is proved that for every finite set $\pi$ of primes there exists a polycyclic group which is a residually finite $p$-group if and only if the number $p$ belongs to the set $\pi$. 
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     author = {D. N. Azarov},
     title = {Some residual properties of polycyclic groups and split extensions},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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D. N. Azarov. Some residual properties of polycyclic groups and split extensions. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 4, pp. 3-10. http://geodesic.mathdoc.fr/item/VMJ_2015_17_4_a0/