每个极大子群幂零或ti -子群或p '阶的有限群

Pub Date : 2022-03-20 DOI:10.1142/s1005386723000135

Jiangtao Shi

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引用次数: 0

摘要

我们得到了一个有限群[公式:见文]结构的完全刻画，其中对于[公式:见文]的任何固定素数因子[公式:见文]，每个极大子群都是幂零的或一个ti -子群或有阶的[公式:见文]。此外，我们证明了[公式:见文]的[公式:见文]最多存在一个素数因子[公式:见文]，使得[公式:见文]既不是[公式:见文]-幂零的，也不是[公式:见文]-闭的。

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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Finite Groups in Which Every Maximal Subgroup Is Nilpotent or a TI-Subgroup or Has Order p′

We obtain a complete characterization of the structure of a finite group [Formula: see text] in which every maximal subgroup is nilpotent or a TI-subgroup or has order [Formula: see text] for any fixed prime divisor [Formula: see text] of [Formula: see text]. Moreover, we show that there exists at most one prime divisor [Formula: see text] of [Formula: see text] such that [Formula: see text] is neither [Formula: see text]-nilpotent nor [Formula: see text]-closed.

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