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dc.contributor.author | Alemany Martínez, Elena | es_ES |
dc.contributor.author | Beltran, Antonio | es_ES |
dc.contributor.author | Felipe Román, María José | es_ES |
dc.date.accessioned | 2013-05-13T12:25:30Z | |
dc.date.available | 2013-05-13T12:25:30Z | |
dc.date.issued | 2011 | |
dc.identifier.issn | 0002-9939 | |
dc.identifier.uri | http://hdl.handle.net/10251/28780 | |
dc.description | First published in Proceedings of the American Mathematical Society in volume 139, number 8, August 2011, published by the American Mathematical Society | es_ES |
dc.description.abstract | [EN] Let G be a finite group. If N is a normal subgroup which has exactly two G-conjugacy class sizes, then N is nilpotent. In particular, we show that N is abelian or is the product of a p-group P by a central subgroup of G. Furthermore, when P is not abelian, P/(Z(G) ¿ P) has exponent p. © 2010 American Mathematical Society. | es_ES |
dc.description.sponsorship | This work is part of the first author's Ph.D. thesis and is partially supported by Proyecto MTM2007-68010-C03-03 and by Proyecto GV-2009-021. The second author is also supported by grant Fundacio Caixa-Castello P11B2008-09. | |
dc.language | Inglés | es_ES |
dc.publisher | American Mathematical Society | es_ES |
dc.relation.ispartof | Proceedings of the American Mathematical Society | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Finite-groups | es_ES |
dc.subject | Elements | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Nilpotency of normal subgroups having two G-class sizes | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1090/S0002-9939-2010-10702-5 | |
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/UJI//P1·1B2008-09/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//GV%2F2009%2F021/ | |
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 | Alemany Martínez, E.; Beltran, A.; Felipe Román, MJ. (2011). Nilpotency of normal subgroups having two G-class sizes. Proceedings of the American Mathematical Society. 139(8):2663-2669. https://doi.org/10.1090/S0002-9939-2010-10702-5 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1090/S0002-9939-2010-10702-5 | es_ES |
dc.description.upvformatpinicio | 2663 | es_ES |
dc.description.upvformatpfin | 2669 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 139 | es_ES |
dc.description.issue | 8 | es_ES |
dc.relation.senia | 210209 | |
dc.identifier.eissn | 1088-6826 | |
dc.contributor.funder | Generalitat Valenciana | |
dc.contributor.funder | Fundación Bancaja | |
dc.contributor.funder | Universitat Jaume I | es_ES |
dc.contributor.funder | Ministerio de Educación y Ciencia | es_ES |