Locally nilpotent groups with the minimal condition on normal subgroups of infinite index

摘要

A group $G$ is said to satisfy the minimal condition on normal subgroups of infinite index if there does not exist an infinite properly descending chain $G_1>G_2>cdots,$ of normal subgroups of infinite index in $G$. We characterize the structure of locally nilpotent groups satisfying this chain condition.