Groups with triangle-free graphs on p-regular classes

[EN] 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.

Detalles Bibliográficos
Autores: Felipe Román, María Josefa|||0000-0002-6699-3135, Jean-Philippe, M.K., Sotomayor, V.
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/221501
Acceso en línea:https://riunet.upv.es/handle/10251/221501
Access Level:acceso abierto
Palabra clave:Conjugacy classes
Common divisor graph
Finite groups
P-regular elements
Triangle-free graph
Descripción
Sumario:[EN] 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.