Geodesic
On the residual property of polycyclic groups
Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 121-126

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We generalize the result of A. L. Shmelkin which establishes the fact that polycyclic groups are virtually residually $p$-finite for any prime $p$.
Keywords: polycyclic group, residually a finite $p$-group, virtually residually a finite $p$-group. 
@article{CHEB_2013_14_3_a14,
     author = {A. V. Rozov},
     title = {On the residual property of polycyclic groups},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {121--126},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a14/}
}
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A. V. Rozov. On the residual property of polycyclic groups. Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 121-126. http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a14/