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Class sizes of prime-power orden p'-elements and normal subgroups
dc.contributor.author | Beltrán, Antonio | |
dc.contributor.author | Felipe, Maria José | |
dc.contributor.author | Sao, Changguo | |
dc.date.accessioned | 2015-07-06T12:04:15Z | |
dc.date.available | 2015-07-06T12:04:15Z | |
dc.date.issued | 2014-06 | |
dc.identifier.citation | BELTRÁN FELIP, A. Class sizes of prime-power orden p'-elements and normal subgroups. Annali di Matematica Pura ed Applicata (June 2014) (Epub ahead of print)) | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/126385 | |
dc.description.abstract | We prove an extension of the renowned Itô’s theorem on groups having two class sizes in three different directions at the same time: normal subgroups, p' -elements and prime- power order elements. Let N be a normal subgroup of a finite group G and let p be a fixed prime. Suppose that | x G |= 1or m for every q -element of N and for every prime q = p . Then, N has nilpotent p -complements. | ca_CA |
dc.format.extent | 7 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer | ca_CA |
dc.relation.isPartOf | Annali di Matematica Pura ed Applicata (June 2014) | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Finite groups | ca_CA |
dc.subject | Conjugacy class sizes | ca_CA |
dc.subject | Normal subgroups | ca_CA |
dc.subject | Prime-power order elements | ca_CA |
dc.subject | p' -Elements | ca_CA |
dc.title | Class sizes of prime-power orden p'-elements and normal subgroups | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s10231-014-0432-4 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/article/10.1007/s10231-014-0432-4 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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