Square-free class sizes in products of groups

[EN] We obtain some structural properties of a factorised group G = AB, given that the conjugacy class sizes of certain elements in A boolean OR B are not divisible by p(2), for some prime p. The case when G = AB is a mutually permutable product is especially considered.

Detalles Bibliográficos
Autores: Felipe Román, María Josefa|||0000-0002-6699-3135, Martínez-Pastor, Ana|||0000-0002-0208-4098, Sotomayor, Víctor|||0000-0001-8649-5742
Tipo de recurso: artículo
Fecha de publicación:2017
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:10251/103298
Acceso en línea:https://riunet.upv.es/handle/10251/103298
Access Level:acceso abierto
Palabra clave:Finite groups
Soluble groups
Products of subgroups
Conjugacy classes
IUMPA
MATEMATICA APLICADA
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spelling Square-free class sizes in products of groupsFelipe Román, María Josefa|||0000-0002-6699-3135Martínez-Pastor, Ana|||0000-0002-0208-4098Sotomayor, Víctor|||0000-0001-8649-5742Finite groupsSoluble groupsProducts of subgroupsConjugacy classesIUMPAMATEMATICA APLICADA[EN] We obtain some structural properties of a factorised group G = AB, given that the conjugacy class sizes of certain elements in A boolean OR B are not divisible by p(2), for some prime p. The case when G = AB is a mutually permutable product is especially considered.The first author is supported by Proyecto Prometeo II/2015/011, Generalitat Valenciana (Spain), and the second author is supported by Proyecto MTM2014-54707-C3-1-P, Ministerio de Economia, Industria y Competitividad (Spain). The results in this paper are part of the third author's Ph.D. thesis, and he acknowledges the predoctoral grant ACIF/2016/170, Generalitat Valenciana (Spain).ElsevierDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería IndustrialEscuela Técnica Superior de Ingeniería InformáticaGeneralitat ValencianaMinisterio de Economía, Industria y CompetitividadRepositorio 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/10251/103298reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengGeneralitat Valenciana https://doi.org/10.13039/501100003359 PROMETEOII%2F2015%2F011 Caracteres y clases de conjugación de grupos finitos IIGeneralitat Valenciana https://doi.org/10.13039/501100003359 ACIF%2F2016%2F170Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2014-54707-C3-1-P PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS Iopen 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:10251/1032982026-06-13T07:49:27Z
dc.title.none.fl_str_mv Square-free class sizes in products of groups
title Square-free class sizes in products of groups
spellingShingle Square-free class sizes in products of groups
Felipe Román, María Josefa|||0000-0002-6699-3135
Finite groups
Soluble groups
Products of subgroups
Conjugacy classes
IUMPA
MATEMATICA APLICADA
title_short Square-free class sizes in products of groups
title_full Square-free class sizes in products of groups
title_fullStr Square-free class sizes in products of groups
title_full_unstemmed Square-free class sizes in products of groups
title_sort Square-free class sizes in products of groups
dc.creator.none.fl_str_mv Felipe Román, María Josefa|||0000-0002-6699-3135
Martínez-Pastor, Ana|||0000-0002-0208-4098
Sotomayor, Víctor|||0000-0001-8649-5742
author Felipe Román, María Josefa|||0000-0002-6699-3135
author_facet Felipe Román, María Josefa|||0000-0002-6699-3135
Martínez-Pastor, Ana|||0000-0002-0208-4098
Sotomayor, Víctor|||0000-0001-8649-5742
author_role author
author2 Martínez-Pastor, Ana|||0000-0002-0208-4098
Sotomayor, Víctor|||0000-0001-8649-5742
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
Escuela Técnica Superior de Ingeniería Informática
Generalitat Valenciana
Ministerio de Economía, Industria y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Finite groups
Soluble groups
Products of subgroups
Conjugacy classes
IUMPA
MATEMATICA APLICADA
topic Finite groups
Soluble groups
Products of subgroups
Conjugacy classes
IUMPA
MATEMATICA APLICADA
description [EN] We obtain some structural properties of a factorised group G = AB, given that the conjugacy class sizes of certain elements in A boolean OR B are not divisible by p(2), for some prime p. The case when G = AB is a mutually permutable product is especially considered.
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/10251/103298
url https://riunet.upv.es/handle/10251/103298
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Generalitat Valenciana https://doi.org/10.13039/501100003359 PROMETEOII%2F2015%2F011 Caracteres y clases de conjugación de grupos finitos II
Generalitat Valenciana https://doi.org/10.13039/501100003359 ACIF%2F2016%2F170
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2014-54707-C3-1-P PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS I
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 Elsevier
publisher.none.fl_str_mv Elsevier
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 15.300724

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