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

IF 0.4 4区数学 Q4 MATHEMATICS

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

Jiangtao Shi

引用次数: 0

Abstract

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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每个极大子群幂零或ti -子群或p '阶的有限群

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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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.