The influence of c-subnormality subgroups on the structure of finite groups

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2024-06-25 DOI:10.1515/gmj-2024-2036

Dana Jaraden, Ali Ateiwi, Jehad Jaraden

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引用次数: 0

Abstract

Let H be a subgroup of a group G. We say that H is c-subnormal in G if there exists a subnormal subgroup T of G such that H ⁢ T = G

{HT=G}

and H ∩ T ⩽ H G

{H\cap T\leqslant H_{G}}

, where H G

{H_{G}}

is the maximal normal subgroup of G which is contained in H. In this paper, we investigate the structure of a finite group G under the assumption that all maximal subgroups are c-subnormal subgroups and present some new conditions for supersolvability.

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c-subnormality 子群对有限群结构的影响

如果存在一个 G 的子正则子群 T，使得 H T = G {HT=G}，并且 H ∩ T ⩽ H G {H\cap T\leqslant H_{G}} ，我们就说 H 在 G 中是 c 正则子群。本文研究了在所有最大子群都是 c-subnormal 子群的假设下有限群 G 的结构，并提出了一些新的超可溶条件。

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

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.