I'm reading an article I wrote my doctoral supervisor. In this article he states that if $G$ be a hypercentral group and suppose that $G$ is generated by (a finite number of) Prufer subgroups. Then $G$ is abelian.
I asked him about this statement. He told me it was true. He said that in the good books of reference I should find a demonstration of this fact. Turns out I do not find this fact anywhere. Can anyone give me some information about this statement? Or any idea of the proof of this statement. Thank you so much.