MATHEMATICS

Finite soluble groups with metanilpotent maximal subgroups

A. V. Buzlanov

F. Scorina Gomel State University, Gomel, Belarus

Abstract: The structure of a finite soluble group with two maximal subgroups belonging to the local subformation of the formation of all metanilpotent groups, one of which is selfnormalizable and the other is normalizable is studied.

Keywords: finite group, soluble group, maximal subgroup, metanilpotent groups, local formation.

UDC: 512.542

Received: 01.10.2014