A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2023-02-18 DOI:10.24330/ieja.1252751

Wenjing Liu, Jiangtao Shi, Yunfeng Tian

引用次数: 0

Abstract

We provide a new and simple proof to show that a finite group in which every non-nilpotent maximal subgroup is normal is solvable.

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关于一个有限群的可解性，其中每个非幂零极大子群都是正规的

我们提供了一个新的简单证明，证明了一个有限群，其中每个非幂零极大子群都是正规的，是可解的。

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

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.