A finite group in which all non-nilpotent maximal subgroups are normal has a Sylow tower

IF 0.6 4区数学 Q3 MATHEMATICS

Hokkaido Mathematical Journal Pub Date : 2019-06-01 DOI:10.14492/HOKMJ/1562810510

Jiangtao Shi

引用次数: 2

Abstract

In this paper we prove that a finite group in which all non-nilpotent maximal subgroups are normal must have a Sylow tower, which improves Theorem 1.3 of [Finite groups with non-nilpotent maximal subgroups, Monatsh Math. 171 (2013) 425–431.].

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一类所有非幂零极大子群均为正规的有限群具有西洛塔

在本文中，我们证明了其中所有非幂零极大子群都是正规的有限群必须具有Sylow塔，这改进了[具有非幂零最大子群的有限群，Monatsh Math.171（2013）425–431]的定理1.3。

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

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.