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Chebyshevskii Sbornik, 2013, Volume 14, Issue 3, Pages 121–126 (Mi cheb297)  
On the residual property of polycyclic groups

A. V. Rozov

Ivanovo State University
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Abstract: 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.
Received: 07.09.2013
Document Type: Article
UDC: 512.543
Language: Russian
Citation: A. V. Rozov, “On the residual property of polycyclic groups”, Chebyshevskii Sb., 14:3 (2013), 121–126
Citation in format AMSBIB
\Bibitem{Roz13}
\by A.~V.~Rozov
\paper On the residual property of polycyclic groups
\jour Chebyshevskii Sb.
\yr 2013
\vol 14
\issue 3
\pages 121--126
\mathnet{http://mi.mathnet.ru/cheb297}
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  • https://www.mathnet.ru/eng/cheb/v14/i3/p121
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