A group $G$ is said to satisfy the maximal condition on infinite normal subgroups if there does not exist an infinite properly ascending chain of infinite normal subgroups. We characterize the structure of locally nilpotent groups satisfying this chain condition. We then show how to construct locally nilpotent groups with the maximal condition on infinite normal subgroups, but not the maximal condition on subgroups.
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机译：如果不存在无限正常子群的无限适当升序链，则称组$ G $满足无限正常子群上的最大条件。我们表征满足该链条件的局部幂等基团的结构。然后，我们展示如何构造具有无限条件正常子组上的最大条件而不是子组上的最大条件的局部幂等组。
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