MATHEMATICS

On the derivative length of a finite solvable group

D. A. Hodanovich

F. Skorina Gomel State University, Gomel

Abstract: The upper estimations of the derivative length of the Frattini quotient group depending on the indices of the maximal subgroups which do not contain a Fitting subgroup in the solvable group have been obtained.

Keywords: finite group, solvable group, maximal subgroup, Fitting subgroup, Frattini subgroup, derivative length.

UDC: 512.542

Received: 15.08.2011