具有给定霍尔常内含子群的有限群

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-06 DOI:10.1007/s11587-024-00850-z

Xuanli He, Qinhui Sun, Jing Wang

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引用次数: 0

摘要

让 G 是一个有限群。如果 G 的一个子群 H 是常闭 \(H^G\) 的一个霍尔子群，那么这个子群就叫做霍尔常嵌于 G。在本文中，我们将 G 的 Sylow p 子群 P 的子群 D 定为 \(1<|D|<|O_p(G)|\)，并在假设 P 的所有阶为 \(|H|=|D|\)的子群 H 都是霍尔常嵌于 G 的情况下研究 G 的结构。

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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Finite group with given Hall normally embedded subgroups

Let G be a finite group. A subgroup H of G is called Hall normally embedded in G if H is a Hall subgroup of the normal closure \(H^G\). In this paper, we fix a subgroup D of Sylow p-subgroup P of G with \(1<|D|<|O_p(G)|\) and study the structure of G under the assumption that all subgroups H of P with order \(|H|=|D|\) are Hall normally embedded in G.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.