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Squares of real conjugacy classes in finite groups
dc.contributor.author | Beltrán, Antonio | |
dc.contributor.author | Felipe, Maria José | |
dc.contributor.author | Melchor Borja, Carmen | |
dc.date.accessioned | 2017-11-09T08:45:18Z | |
dc.date.available | 2017-11-09T08:45:18Z | |
dc.date.issued | 2017-07 | |
dc.identifier.citation | BELTRÁN, A.; FELIPE, M. J.; MELCHOR, C. Squares of real conjugacy classes in finite groups. Annali di Matematica Pura ed Applicata (1923-), 2017, p. 1-12. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/169945 | |
dc.description.abstract | We prove that if a finite group G contains a conjugacy class K whose square is of the form 1∪D, where D is a conjugacy class of G, then ⟨K⟩ is a solvable proper normal subgroup of G and we completely determine its structure. We also obtain the structure of those groups in which the assumption above is true for all non-central conjugacy classes and when every conjugacy class satisfies that its square is the union of all central conjugacy classes except at most one. | ca_CA |
dc.format.extent | 12 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer Verlag | ca_CA |
dc.rights | © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany 2017 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | finite groups | ca_CA |
dc.subject | conjugacy classes | ca_CA |
dc.subject | product of classes | ca_CA |
dc.subject | characters | ca_CA |
dc.subject | real conjugacy classes | ca_CA |
dc.title | Squares of real conjugacy classes in finite groups | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1007/s10231-017-0681-0 | |
dc.relation.projectID | Valencian Government (PROMETEOII/2015/011) ; Universitat Jaume I (Grant P11B2015-77) | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | https://link.springer.com/article/10.1007/s10231-017-0681-0 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
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