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Structure of p-complements in groups with three p-regular class sizes

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Structure of p-complements in groups with three p-regular class sizes

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dc.contributor.author Beltrán, Antonio es_ES
dc.contributor.author Felipe Román, María Josefa es_ES
dc.date.accessioned 2015-12-03T16:40:34Z
dc.date.available 2015-12-03T16:40:34Z
dc.date.issued 2013-08
dc.identifier.issn 0026-9255
dc.identifier.uri http://hdl.handle.net/10251/58507
dc.description.abstract Let G be a finite p-solvable group for some prime p and suppose that the set of p-regular conjugacy class sizes is {1,m,mn} with (m,n)=1 and m coprime to p. We show that m=qb for some prime q and we describe the structure of the p-complements of G. es_ES
dc.description.sponsorship This research is supported by the Spanish Government, Proyecto MTM2010-19938-C03-02 and by the Valencian Government, Proyecto PROMETEO/2011/30. The first author is also supported by grant Fundacio Caixa-Castello P11B2010-47. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Monatshefte für Mathematik es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite p-solvable groups es_ES
dc.subject Conjugacy class sizes es_ES
dc.subject P-Regular elements es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Structure of p-complements in groups with three p-regular class sizes es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00605-012-0466-x
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/GVA//PROMETEO%2F2011%2F030/ es_ES
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. (2013). Structure of p-complements in groups with three p-regular class sizes. Monatshefte für Mathematik. 171(2):157-167. https://doi.org/10.1007/s00605-012-0466-x es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00605-012-0466-x es_ES
dc.description.upvformatpinicio 157 es_ES
dc.description.upvformatpfin 167 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 171 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 258974 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.description.references Akhlaghi, Z., Beltrán, A., Felipe, M.J., Khatami, M.: Finite $$p$$ -solvable groups with three $$p$$ -regular class sizes. Proc. Edinb. Math. Soc. (2012). doi: 10.1017/s0013091511000654 es_ES
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