关于补充了tag的子组

Pub Date : 2022-03-26 DOI:10.1515/jgth-2021-0195

Yuedi Zeng

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引用次数: 0

摘要

摘要设𝐺为有限群，p k p^{k}为素数幂除以| G | \lvert G \rvert。如果𝐺存在一个子群𝐾，使得对于𝐻的每一个极大子群H i H＿i, G=H∑K G=HK且H i∑K本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On ℳ-supplemented subgroups

Abstract Let 𝐺 be a finite group and p k p^{k} a prime power dividing | G | \lvert G\rvert . A subgroup 𝐻 of 𝐺 is said to be ℳ-supplemented in 𝐺 if there exists a subgroup 𝐾 of 𝐺 such that G = H ⁢ K G=HK and H i ⁢ K < G H_{i}K

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