V. S. Monakhov, A. A. Trofimuk, “On finite soluble groups of fixed rank”, Sibirsk. Mat. Zh., 2011, Volume 52, Number 5,Pages <nobr>1123

This article is cited in 14 papers

On finite soluble groups of fixed rank

V. S. Monakhov^a, A. A. Trofimuk^b

^a Francisk Skorina Gomel State University, Gomel, Belarus
^b Pushkin Brest State University, Brest, Belarus

Abstract: We establish the dependence of the derived length and $p$-length of a finite soluble group on its rank.

Keywords: soluble group, rank, derived length, nilpotent length, $p$-length.

UDC: 512.542

Received: 03.06.2010