Abstract A finite group is called a CZ(n)-group if the number of the orders of its quasikernels is n. In this note, we obtain a possible upper bound of derived length of the solvable CZ(n)-groups. Also, we give a necessary and sufficient condition for a group to be a CZ(2)-group.

中文翻译：

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关于有限 CZ(n)-群的注解

摘要 如果一个有限群的拟核的阶数为n，则称其为CZ(n)-群。在本笔记中，我们获得了可解 CZ(n)-群的导出长度的可能上限。此外，我们给出了一个群是 CZ(2)-群的充分必要条件。