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Powers of conjugacy classes in a finite groups

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Powers of conjugacy classes in a finite groups

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dc.contributor.author Beltrán, Antonio es_ES
dc.contributor.author Camina, Rachel Deborah es_ES
dc.contributor.author Felipe Román, María Josefa es_ES
dc.contributor.author Melchor, Carmen es_ES
dc.date.accessioned 2021-05-12T03:32:07Z
dc.date.available 2021-05-12T03:32:07Z
dc.date.issued 2020-04 es_ES
dc.identifier.issn 0373-3114 es_ES
dc.identifier.uri http://hdl.handle.net/10251/166212
dc.description.abstract [EN] The aim of this paper is to show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper was to show several results about solvability concerning the case in which the power of a conjugacy class is a union of one or two conjugacy classes. Moreover, we show that the above conditions can be determined through the character table of the group. es_ES
dc.description.sponsorship Part of this paper was written during the stay of C.Melchor at the University of Cambridge in autumn 2017, which was financially supported by the grant E-2017-02, Universitat Jaume I of Castellón. C. Melchor would like to thank R. Camina and the Department of Mathematics for their warm hospitality. A. Beltrán, M.J. Felipe and C. Melchor are supported by Proyecto PGC2018-096872-B-100, Ministerio de Ciencia, Innovación y Universidades. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Annali di Matematica Pura ed Applicata (1923 -) es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite groups es_ES
dc.subject Conjugacy classes es_ES
dc.subject Solvability es_ES
dc.subject Power of conjugacy classes es_ES
dc.subject Characters es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Powers of conjugacy classes in a finite groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10231-019-00885-2 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UJI//E-2017-02/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096872-B-I00/ES/GRUPOS, ESTRUCTURA LOCAL-GLOBAL E INVARIANTES NUMERICOS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//AICO%2F2020%2F298/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Beltrán, A.; Camina, RD.; Felipe Román, MJ.; Melchor, C. (2020). Powers of conjugacy classes in a finite groups. Annali di Matematica Pura ed Applicata (1923 -). 199(2):409-424. https://doi.org/10.1007/s10231-019-00885-2 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s10231-019-00885-2 es_ES
dc.description.upvformatpinicio 409 es_ES
dc.description.upvformatpfin 424 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 199 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\394894 es_ES
dc.contributor.funder Universitat Jaume I es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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