Abstract

Let G be a perfect locally nilpotent p-group in which every proper subgroup is nilpotent-by-Chernikov. It is shown that in G/Z(G) every proper subgroup is a Chernikov extension of a nilpotent subgroup Of finite exponent (Theorem 1). This resut is then used to give a characterization of G if, in addition, it satisfies the normalizer condition (Theorem 2).