Triangles in the graph of conjugacy classes of normal subgroups

[EN] Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph G(N), which is the graph associated to the conjugacy classes of G contained in N, has no triangles and when the graph consists in exactly one triangle.

Detalhes bibliográficos
Autores: Beltrán, Antonio, Melchor, Carmen, Felipe Román, María Josefa|||0000-0002-6699-3135
Tipo de documento: artigo
Data de publicação:2017
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositório:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglês
OAI Identifier:oai:riunet.upv.es:10251/149080
Acesso em linha:https://riunet.upv.es/handle/10251/149080
Access Level:Acceso aberto
Palavra-chave:Finite groups
Conjugacy classes
Normal subgroups
Graphs
MATEMATICA APLICADA
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spelling Triangles in the graph of conjugacy classes of normal subgroupsBeltrán, AntonioMelchor, CarmenFelipe Román, María Josefa|||0000-0002-6699-3135Finite groupsConjugacy classesNormal subgroupsGraphsMATEMATICA APLICADA[EN] Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph G(N), which is the graph associated to the conjugacy classes of G contained in N, has no triangles and when the graph consists in exactly one triangle.The research of the first and second authors is supported by the Valencian Government, Proyecto PROMETEOII/2015/011. The first and the third authors are also partially supported by Universitat Jaume I, Grant P11B2015-77.Springer-VerlagDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería IndustrialUniversitat Jaume IGeneralitat ValencianaRepositorio Institucional de la Universitat Politècnica de València Riunet20172017-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/149080reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversitat Jaume I https://doi.org/10.13039/501100004834 P1-1B2015-77Generalitat Valenciana https://doi.org/10.13039/501100003359 PROMETEOII%2F2015%2F011 Caracteres y clases de conjugación de grupos finitos IIopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1490802026-06-13T07:49:27Z
dc.title.none.fl_str_mv Triangles in the graph of conjugacy classes of normal subgroups
title Triangles in the graph of conjugacy classes of normal subgroups
spellingShingle Triangles in the graph of conjugacy classes of normal subgroups
Beltrán, Antonio
Finite groups
Conjugacy classes
Normal subgroups
Graphs
MATEMATICA APLICADA
title_short Triangles in the graph of conjugacy classes of normal subgroups
title_full Triangles in the graph of conjugacy classes of normal subgroups
title_fullStr Triangles in the graph of conjugacy classes of normal subgroups
title_full_unstemmed Triangles in the graph of conjugacy classes of normal subgroups
title_sort Triangles in the graph of conjugacy classes of normal subgroups
dc.creator.none.fl_str_mv Beltrán, Antonio
Melchor, Carmen
Felipe Román, María Josefa|||0000-0002-6699-3135
author Beltrán, Antonio
author_facet Beltrán, Antonio
Melchor, Carmen
Felipe Román, María Josefa|||0000-0002-6699-3135
author_role author
author2 Melchor, Carmen
Felipe Román, María Josefa|||0000-0002-6699-3135
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
Universitat Jaume I
Generalitat Valenciana
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Finite groups
Conjugacy classes
Normal subgroups
Graphs
MATEMATICA APLICADA
topic Finite groups
Conjugacy classes
Normal subgroups
Graphs
MATEMATICA APLICADA
description [EN] Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph G(N), which is the graph associated to the conjugacy classes of G contained in N, has no triangles and when the graph consists in exactly one triangle.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01
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/10251/149080
url https://riunet.upv.es/handle/10251/149080
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Universitat Jaume I https://doi.org/10.13039/501100004834 P1-1B2015-77
Generalitat Valenciana https://doi.org/10.13039/501100003359 PROMETEOII%2F2015%2F011 Caracteres y clases de conjugación de grupos finitos II
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer-Verlag
publisher.none.fl_str_mv Springer-Verlag
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 15.300719

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