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Simplicity of normal subgroups and conjugacy class sizes
dc.contributor.author | Beltrán, Antonio | |
dc.contributor.author | Felipe, Maria José | |
dc.date.accessioned | 2014-06-26T07:07:08Z | |
dc.date.available | 2014-06-26T07:07:08Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | BELTRÁN, Antonio; FELIPE, María José. Simplicity of normal subgroups and conjugacy class sizes. Monatshefte für Mathematik, 2013, p. 1-6 | ca_CA |
dc.identifier.issn | 0026-9255 | |
dc.identifier.issn | 1436-5081 | |
dc.identifier.uri | http://hdl.handle.net/10234/96133 | |
dc.description.abstract | Given 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.sponsorShip | This 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.extent | 6 p. | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer | ca_CA |
dc.relation.isPartOf | Monatshefte für Mathematik (2013) | ca_CA |
dc.rights | © Springer | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Finite groups | ca_CA |
dc.subject | Conjugacy class sizes | ca_CA |
dc.subject | Normal subgroups | ca_CA |
dc.subject | Simple groups | ca_CA |
dc.subject | 20E45 | ca_CA |
dc.subject | 20D06 | ca_CA |
dc.title | Simplicity of normal subgroups and conjugacy class sizes | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s00605-013-0602-2 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/article/10.1007%2Fs00605-013-0602-2 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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