Groups with triangle-free graphs on p-regular classes

Fuente: arXiv
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Auteurs principaux: Felipe, María José, Jean-Philippe, Marc Kelly, Sotomayor, Víctor
Format: Preprint
Publié: 2024
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author Felipe, María José
Jean-Philippe, Marc Kelly
Sotomayor, Víctor
author_facet Felipe, María José
Jean-Philippe, Marc Kelly
Sotomayor, Víctor
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_02818
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Groups with triangle-free graphs on p-regular classes
Felipe, María José
Jean-Philippe, Marc Kelly
Sotomayor, Víctor
Group Theory
20E45, 20D20
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.
title Groups with triangle-free graphs on p-regular classes
topic Group Theory
20E45, 20D20
url https://arxiv.org/abs/2408.02818