p$ p$正则类上的无三角形图群

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-05-04 DOI:10.1002/mana.202400554

M. J. Felipe, M. K. Jean-Philippe, V. Sotomayor

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引用次数: 0

摘要

设p$ p$是质数。本文对有限p$ p$可分群的p$ p$ -结构进行了分类，使得给定任意三个p$ p$ -正则元的非中心共轭类，其中必有两个具有同素数长度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Groups with triangle-free graphs on

p
$p$
-regular classes

查看原文本刊更多论文

Groups with triangle-free graphs on p $p$ -regular classes

Let $p$ be a prime. In this paper, we classify the $p$ -structure of those finite $p$ -separable groups such that, given any three non-central conjugacy classes of $p$ -regular elements, two of them necessarily have coprime lengths.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index