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Multiplying a conjugacy class by its inverse in a finite group

dc.contributor.authorBeltrán, Antonio
dc.contributor.authorFelipe, Maria José
dc.contributor.authorMelchor Borja, Carmen
dc.date.accessioned2018-11-16T12:08:02Z
dc.date.available2018-11-16T12:08:02Z
dc.date.issued2018-08
dc.identifier.citationBELTRÁN, Antonio; FELIPE, María José; MELCHOR, Carmen. Multiplying a conjugacy class by its inverse in a finite group. Israel Journal of Mathematics, 2018, 227.2: 811-825.ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/177530
dc.description.abstractSuppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ∪ D−1 with D a conjugacy class of G. We prove that G is not a non-abelian simple group and we give arithmetical conditions on the class sizes determining the solvability and the structure of 〈K〉 and 〈D〉.ca_CA
dc.format.extent15 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherSpringerca_CA
dc.rights© 2018 Springer Nature Switzerland AG. Part of Springer Nature.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectfinite groupca_CA
dc.subjectconjugacy classca_CA
dc.titleMultiplying a conjugacy class by its inverse in a finite groupca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1007/s11856-018-1742-9
dc.relation.projectIDUniversitat Jaume I (grant PRE- DOC/2015/46) ; Valencian Government (PROMETEOII/2015/01) ; Universitat Jaume I (grant P11B2015-7)ca_CA
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_CA
dc.relation.publisherVersionhttps://link.springer.com/article/10.1007/s11856-018-1742-9ca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA


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