Abstract We study the finite groups all the Schmidt subgroups (the minimal non-nilpotent subgroups) of which are σ-subnormal. Thus an affirmative answer is obtained to Problem 19.85 from the Kourovka Notebook.

中文翻译：

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具有 σ-次正规 Schmidt 子群的有限群

摘要 我们研究了所有 Schmidt 子群（最小非幂零子群）都是 σ-次正规的有限群。因此从 Kourovka Notebook 中得到了对习题 19.85 的肯定答案。