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.

UDC: 512.543

Received: 29.07.2014