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Finite groups with four conjugacy class sizes

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Finite groups with four conjugacy class sizes

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dc.contributor.author Beltrán, Antonio es_ES
dc.contributor.author Felipe Román, María Josefa
dc.date.accessioned 2016-01-27T19:28:06Z
dc.date.available 2016-01-27T19:28:06Z
dc.date.issued 2011-03-18
dc.identifier.issn 0092-7872
dc.identifier.uri http://hdl.handle.net/10251/60291
dc.description This is an author's accepted manuscript of an article published in the Communications in Algebra: Volume 39, Issue 4, 2011: copyright Taylor & Francis. Available online at: http://www.tandfonline.com/doi/abs/10.1080/00927871003645417 es_ES
dc.description.abstract We determine the structure of all finite groups with four class sizes when two of them are coprime numbers larger than 1. We prove that such groups are solvable and that the set of class sizes is exactly {1, m, n, mk}, where m, n > 1 are coprime numbers and k > 1 is a divisor of n. es_ES
dc.description.sponsorship We would like to thank the referee for all his comments and suggestions, and we are also truly grateful to Professor Kazarin for the detailed information he provided us on his article [19]. This work was partially supported by Proyecto MTM2007-68010-C03-03, by Proyecto MTM2010-19938-C03-02 and by Proyecto GV-2009-021 MTM2007-68010-C03-03 and the first author is also supported by grant Fundacio Caixa-Castello P11B2008-09. en_EN
dc.language Inglés es_ES
dc.publisher Taylor & Francis: STM, Behavioural Science and Public Health Titles es_ES
dc.relation.ispartof Communications in Algebra es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Class sizes es_ES
dc.subject Conjugacy es_ES
dc.subject Finite groups es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Finite groups with four conjugacy class sizes es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/00927871003645417
dc.relation.projectID info:eu-repo/grantAgreement/UJI//P1·1B2008-09/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MEC//MTM2007-68010-C03-03/ES/GRUPOS: ESTRUCTURA Y APLICACIONES III/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-02/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES. III/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Fundació Caixa Castelló - Bancaixa//P11B2008-09/
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Beltrán, A.; Felipe Román, MJ. (2011). Finite groups with four conjugacy class sizes. Communications in Algebra. 39(4):1260-1272. https://doi.org/10.1080/00927871003645417 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1080/00927871003645417 es_ES
dc.description.upvformatpinicio 1260 es_ES
dc.description.upvformatpfin 1272 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 39 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 209038 es_ES
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Fundació Caixa Castelló - Bancaixa
dc.contributor.funder Universitat Jaume I es_ES


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