On automorphism groups of some modules

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.