Fixed-point ratios, Sylow numbers, and coverings of p $p$ -elements in finite groups

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-05-05 DOI:10.1112/jlms.70167

Robert M. Guralnick, Attila Maróti, Juan Martínez Madrid, Alexander Moretó, Noelia Rizo

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引用次数: 0

Abstract

Fixed-point ratios for primitive permutation groups have been extensively studied. Relying on a recent work of Burness and Guralnick, we obtain further results in the area. For a prime $p$ and a finite group $G$ , we use fixed-point ratios to study the number of Sylow $p$ -subgroups of $G$ and the minimal size of a covering by proper subgroups of the set of $p$ -elements of $G$ .

查看原文本刊更多论文

有限群中p$ p$ -元素的不动点比、慢数和覆盖

原始置换群的不动点比问题得到了广泛的研究。依靠Burness和Guralnick最近的工作，我们在该领域获得了进一步的结果。对于素数p$ p$和有限群G$ G$，利用不动点比研究了G$ G$的Sylow p$ p$ -子群的个数和G$ G$的p$ p$ -元素集合的适当子群覆盖的最小大小。

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

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.