在 $p$ 不规则类上的公因子图没有三角形的群的分类

arXiv - MATH - Group Theory Pub Date : 2024-08-05 DOI:arxiv-2408.02818

María José Felipe, Marc Kelly Jean-Philippe, Víctor Sotomayor

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引用次数: 0

摘要

让 $p$ 是一个素数。在本文中，我们对那些可分离的 $p$ 无限群的 $p$ 结构进行了分类，在给定任意三个 $p$ 不规则元素的非中心共轭类的情况下，其中两个共轭类的长度必然是共角的。

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Classification of groups whose common divisor graph on $p$-regular classes has no triangles

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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arXiv - MATH - Group Theory

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