Rhetorical biset functors, rational p-biset functors and their semisimplicity in characteristic zero

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dc.citation.epage3853en_US
dc.citation.issueNumber9en_US
dc.citation.spage3810en_US
dc.citation.volumeNumber319en_US
dc.contributor.authorBarker, Laurenceen_US
dc.date.accessioned2016-02-08T10:09:23Z
dc.date.available2016-02-08T10:09:23Z
dc.date.issued2008en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractRhetorical biset functors can be defined for any family of finite groups that is closed under subquotients up to isomorphism. The rhetorical p-biset functors almost coincide with the rational p-biset functors. We show that, over a field with characteristic zero, the rhetorical biset functors are semisimple and, furthermore, they admit a character theory involving primitive characters of automorphism groups of cyclic groups.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:09:23Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2008en
dc.identifier.doi10.1016/j.jalgebra.2007.12.018en_US
dc.identifier.eissn1090-266X
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/23134
dc.language.isoEnglishen_US
dc.publisherAcademic Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.jalgebra.2007.12.018en_US
dc.source.titleJournal of Algebraen_US
dc.subjectBiset functoren_US
dc.subjectBurnside ringen_US
dc.subjectPrimitive characteren_US
dc.subjectRepresentation ringen_US
dc.titleRhetorical biset functors, rational p-biset functors and their semisimplicity in characteristic zeroen_US
dc.typeArticleen_US

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