On automorphism groups of some modules

Abstract

In this paper we investigated \(ZG\)-module \(A\), where \(G\) is either nilpotent or soluble group of infinite special rank. It is described the construction of these modules in the case, if for any proper subgroup \(H\) of infinite special rank of group \(G\) the quotient module \(A/C_{A}(H)\) is a noetherian \(Z\)-module.