Finite groups whose prime graph on class sizes is a block square

[EN] Let G be a finite group, and let Delta(G) be the prime graph built on its set of conjugacy class sizes: this is the (simple undirected) graph whose vertices are the prime numbers dividing some conjugacy class size of G, and two distinct vertices p, q are adjacent if and only if pq divides some...

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Detalles Bibliográficos
Autor: Sotomayor, Víctor|||0000-0001-8649-5742
Tipo de recurso: artículo
Fecha de publicación:2022
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:10251/195700
Acceso en línea:https://riunet.upv.es/handle/10251/195700
Access Level:acceso abierto
Palabra clave:Finite groups
Conjugacy classes
Prime graph
MATEMATICA APLICADA
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spelling Finite groups whose prime graph on class sizes is a block squareSotomayor, Víctor|||0000-0001-8649-5742Finite groupsConjugacy classesPrime graphMATEMATICA APLICADA[EN] Let G be a finite group, and let Delta(G) be the prime graph built on its set of conjugacy class sizes: this is the (simple undirected) graph whose vertices are the prime numbers dividing some conjugacy class size of G, and two distinct vertices p, q are adjacent if and only if pq divides some class size of G. In this paper, we characterize the structure of those groups G whose prime graph Delta(G) is a block square.This research is supported by Proyecto PGC2018-096872-B-I00 from the Ministerio de Ciencia, Innovacion y Universidades (Spain), and Proyecto AICO/2020/298 from the Generalitat Valenciana (Spain).Taylor & FrancisDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería InformáticaGeneralitat ValencianaAGENCIA ESTATAL DE INVESTIGACIONRepositorio Institucional de la Universitat Politècnica de València Riunet20222022-09-02journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/195700reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-096872-B-I00 GRUPOS, ESTRUCTURA LOCAL-GLOBAL E INVARIANTES NUMERICOSGeneralitat Valenciana https://doi.org/10.13039/501100003359 AICO%2F2020%2F298 ESTRUCTURA DE GRUPOS FINITOS: CLASES DE CONJUGACIÓN Y CARACTERESopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial (by-nc) http://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1957002026-06-13T07:49:27Z
dc.title.none.fl_str_mv Finite groups whose prime graph on class sizes is a block square
title Finite groups whose prime graph on class sizes is a block square
spellingShingle Finite groups whose prime graph on class sizes is a block square
Sotomayor, Víctor|||0000-0001-8649-5742
Finite groups
Conjugacy classes
Prime graph
MATEMATICA APLICADA
title_short Finite groups whose prime graph on class sizes is a block square
title_full Finite groups whose prime graph on class sizes is a block square
title_fullStr Finite groups whose prime graph on class sizes is a block square
title_full_unstemmed Finite groups whose prime graph on class sizes is a block square
title_sort Finite groups whose prime graph on class sizes is a block square
dc.creator.none.fl_str_mv Sotomayor, Víctor|||0000-0001-8649-5742
author Sotomayor, Víctor|||0000-0001-8649-5742
author_facet Sotomayor, Víctor|||0000-0001-8649-5742
author_role author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Informática
Generalitat Valenciana
AGENCIA ESTATAL DE INVESTIGACION
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Finite groups
Conjugacy classes
Prime graph
MATEMATICA APLICADA
topic Finite groups
Conjugacy classes
Prime graph
MATEMATICA APLICADA
description [EN] Let G be a finite group, and let Delta(G) be the prime graph built on its set of conjugacy class sizes: this is the (simple undirected) graph whose vertices are the prime numbers dividing some conjugacy class size of G, and two distinct vertices p, q are adjacent if and only if pq divides some class size of G. In this paper, we characterize the structure of those groups G whose prime graph Delta(G) is a block square.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-09-02
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/10251/195700
url https://riunet.upv.es/handle/10251/195700
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-096872-B-I00 GRUPOS, ESTRUCTURA LOCAL-GLOBAL E INVARIANTES NUMERICOS
Generalitat Valenciana https://doi.org/10.13039/501100003359 AICO%2F2020%2F298 ESTRUCTURA DE GRUPOS FINITOS: CLASES DE CONJUGACIÓN Y CARACTERES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial (by-nc)
http://creativecommons.org/licenses/by-nc/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 (by-nc)
http://creativecommons.org/licenses/by-nc/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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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