A Jordan–Hölder type theorem for finite groups

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-05-06 DOI:10.1007/s10231-024-01456-w

Francesca Lisi

引用次数: 0

Abstract

We introduce the notion of \(\mathbb {P}\)-subnormal subgroup in a finite group, which generalizes the one of subnormal subgroup. We prove an analogous of the well-known Jordan–Hölder Theorem for these subgroups and their related chains of subgroups.

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有限群的乔丹-荷尔德类型定理

我们引入了有限群中的\(\mathbb {P}\)-subnormal 子群的概念，这是对subnormal 子群概念的概括。我们为这些子群及其相关的子群链证明了著名的乔丹-荷尔德定理。

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

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.