REMARKS ON THE VARIETAL NILPOTENT AND SOLUBLE GROUPS

S. Mostafa Taheri (Iran)

Received August 18, 2008

Abstract

Let J be a variety of groups defined by the set of laws V. We show that if G is a locally V-soluble group with minimal normal subgroup N, then  and if G is a locally V-nilpotent group with minimal normal subgroup N, then

Keywords and phrases: variety, perfect, nilpotent, soluble, verbal, marginal.