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dc.contributor.authorBeltrán, Antonio
dc.contributor.authorFelipe, Maria José
dc.date.accessioned2014-06-26T07:07:08Z
dc.date.available2014-06-26T07:07:08Z
dc.date.issued2013
dc.identifier.citationBELTRÁN, Antonio; FELIPE, María José. Simplicity of normal subgroups and conjugacy class sizes. Monatshefte für Mathematik, 2013, p. 1-6ca_CA
dc.identifier.issn0026-9255
dc.identifier.issn1436-5081
dc.identifier.urihttp://hdl.handle.net/10234/96133
dc.description.abstractGiven a finite group G which possesses a non-abelian simple normal subgroup N having exactly four G -class sizes, we prove that N is isomorphic to PSL (2,2a) with a≥2 . Thus, we obtain an extension for normal subgroups of the classic N. Itô’s theorem which characterizes those finite simple groups with exactly four class sizes.ca_CA
dc.description.sponsorShipThis research is supported by the Valencian Government, Proyecto PROMETEO/ 2011/30, by the Spanish Government, Proyecto MTM2010-19938-C03-02 and the first author is also supported by grant Fundació Bancaixa P11B2010-47.ca_CA
dc.format.extent6 p.ca_CA
dc.language.isoengca_CA
dc.publisherSpringerca_CA
dc.relation.isPartOfMonatshefte für Mathematik (2013)ca_CA
dc.rights© Springerca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectFinite groupsca_CA
dc.subjectConjugacy class sizesca_CA
dc.subjectNormal subgroupsca_CA
dc.subjectSimple groupsca_CA
dc.subject20E45ca_CA
dc.subject20D06ca_CA
dc.titleSimplicity of normal subgroups and conjugacy class sizesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1007/s00605-013-0602-2
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_CA
dc.relation.publisherVersionhttp://link.springer.com/article/10.1007%2Fs00605-013-0602-2ca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersion


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