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
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spelling Groups with triangle-free graphs on p-regular classesFelipe Román, María Josefa|||0000-0002-6699-3135Jean-Philippe, M.K.Sotomayor, V.Conjugacy classesCommon divisor graphFinite groupsP-regular elementsTriangle-free graph[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.The first and last authors are supported by Ayuda a Primeros Proyectos de Investigación (PAID-06-23) from Vicerrectorado de Investigación de la Universitat Politècnica de València (UPV), and by Proyecto CIAICO/2021/163 from Generalitat Valenciana (Spain). The results in this paper are part of the second author s Ph.D. thesis.John Wiley & SonsDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería IndustrialGeneralitat ValencianaUniversitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-06-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/221501reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversitat Politècnica de València https://doi.org/10.13039/501100004233 PAID-06-23Generalitat Valenciana https://doi.org/10.13039/501100003359 CIAICO%2F2021%2F163open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2215012026-06-13T07:49:27Z
dc.title.none.fl_str_mv Groups with triangle-free graphs on p-regular classes
title Groups with triangle-free graphs on p-regular classes
spellingShingle Groups with triangle-free graphs on p-regular classes
Felipe Román, María Josefa|||0000-0002-6699-3135
Conjugacy classes
Common divisor graph
Finite groups
P-regular elements
Triangle-free graph
title_short Groups with triangle-free graphs on p-regular classes
title_full Groups with triangle-free graphs on p-regular classes
title_fullStr Groups with triangle-free graphs on p-regular classes
title_full_unstemmed Groups with triangle-free graphs on p-regular classes
title_sort Groups with triangle-free graphs on p-regular classes
dc.creator.none.fl_str_mv Felipe Román, María Josefa|||0000-0002-6699-3135
Jean-Philippe, M.K.
Sotomayor, V.
author Felipe Román, María Josefa|||0000-0002-6699-3135
author_facet Felipe Román, María Josefa|||0000-0002-6699-3135
Jean-Philippe, M.K.
Sotomayor, V.
author_role author
author2 Jean-Philippe, M.K.
Sotomayor, V.
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Industrial
Generalitat Valenciana
Universitat Politècnica de València
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Conjugacy classes
Common divisor graph
Finite groups
P-regular elements
Triangle-free graph
topic Conjugacy classes
Common divisor graph
Finite groups
P-regular elements
Triangle-free graph
description [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.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-06-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/221501
url https://riunet.upv.es/handle/10251/221501
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Universitat Politècnica de València https://doi.org/10.13039/501100004233 PAID-06-23
Generalitat Valenciana https://doi.org/10.13039/501100003359 CIAICO%2F2021%2F163
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv John Wiley & Sons
publisher.none.fl_str_mv John Wiley & Sons
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.81155

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