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Vladikavkaz. Mat. Zh., 2015, Volume 17, Number 4, Pages 3–10 (Mi vmj558)  

Some residual properties of polycyclic groups and split extensions

D. N. Azarov

Ivanovo State University, Ivanovo, Russia

Abstract: 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 $\pi$.

Key words: polycyclic group, split extension.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation


Full text: PDF file (196 kB)
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UDC: 512.543
Received: 29.07.2014

Citation: D. N. Azarov, “Some residual properties of polycyclic groups and split extensions”, Vladikavkaz. Mat. Zh., 17:4 (2015), 3–10

Citation in format AMSBIB
\Bibitem{Aza15}
\by D.~N.~Azarov
\paper Some residual properties of polycyclic groups and split extensions
\jour Vladikavkaz. Mat. Zh.
\yr 2015
\vol 17
\issue 4
\pages 3--10
\mathnet{http://mi.mathnet.ru/vmj558}


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