Deformations of some biset-theoretic categories

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buir.advisorBarker, Laurence John
dc.contributor.authorÖğüt, İsmail Alperen
dc.date.accessioned2020-09-17T08:31:53Z
dc.date.available2020-09-17T08:31:53Z
dc.date.copyright2020-09
dc.date.issued2020-09
dc.date.submitted2020-09-16
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (Ph.D.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2020.en_US
dc.descriptionIncludes bibliographical references (leaves 48-49).en_US
dc.description.abstractWe define the subgroup category, a category on the class of finite groups where the morphisms are given by the subgroups of the direct products and the composition is the star product. We also introduce some of its deformations and provide a criteria for their semisimplicity. We show that biset category can be realized as an invariant subcategory of the subgroup category, where the composition is much simpler. With this correspondence, we obtain some of the deformations of the biset category. We further our methods to the fibred biset category by introducing the subcharacter partial category. Similarly, we also realize the fibred biset category and some of its deformations in a category where the composition is more easily described.en_US
dc.description.provenanceSubmitted by Betül Özen (ozen@bilkent.edu.tr) on 2020-09-17T08:31:53Z No. of bitstreams: 1 10358028.pdf: 458655 bytes, checksum: 70366e5bfea6b18f27bb6269283973c9 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-09-17T08:31:53Z (GMT). No. of bitstreams: 1 10358028.pdf: 458655 bytes, checksum: 70366e5bfea6b18f27bb6269283973c9 (MD5) Previous issue date: 2020-09en
dc.description.statementofresponsibilityby İsmail Alperen Öğüten_US
dc.format.extentv, 49 leaves ; 30 cm.en_US
dc.identifier.itemidB160496
dc.identifier.urihttp://hdl.handle.net/11693/54044
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBiset functoren_US
dc.subjectFibred biset functoren_US
dc.subjectSubgroup categoryen_US
dc.subjectPartial categoryen_US
dc.subjectSemisimplicityen_US
dc.subjectSemisimple deformationen_US
dc.titleDeformations of some biset-theoretic categoriesen_US
dc.title.alternativeİkili küme kuramlı bazı kategorilerin deformasyonlarıen_US
dc.typeThesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorBilkent University
thesis.degree.levelDoctoral
thesis.degree.namePh.D. (Doctor of Philosophy)

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