dc.contributor.advisor Barker, Laurence J. dc.contributor.author Büyükçolak, Yasemin dc.date.accessioned 2016-01-08T18:27:22Z dc.date.available 2016-01-08T18:27:22Z dc.date.issued 2013 dc.identifier.uri http://hdl.handle.net/11693/15953 dc.description Ankara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent University, 2013. en_US dc.description Thesis (Master's) -- Bilkent University, 2013. en_US dc.description Includes bibliographical references leaves 68-70. en_US dc.description.abstract We discuss the canonical induction formula for some special Mackey functors en_US by following the construction of Boltje. These functors are the ordinary and modular character rings and the trivial source rings. Making use of a natural correspondence between the Mackey algebra and the finite algebra spanned by the three kinds of basic bisets, namely the conjugation, restriction and induction, we investigate the canonical induction formula in terms of the theory of bisets. We focus on the trivial source rings and the canonical induction formula for them. The main aim is to get an explicit formula for the canonical induction of regular bimodules in the trivial source. This gives a first step towards for the canonical induction of blocks. dc.description.statementofresponsibility Büyükçolak, Yasemin en_US dc.format.extent vii, 70 leaves en_US dc.language.iso English en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.subject Canonical induction en_US dc.subject regular bimodules en_US dc.subject monomial ring en_US dc.subject trivial source ring en_US dc.subject Mackey functor en_US dc.subject biset functor en_US dc.subject.lcc QA169 .B89 2013 en_US dc.subject.lcsh Functor theory. en_US dc.subject.lcsh Induction (Mathematics) en_US dc.subject.lcsh Rings (Algebra) en_US dc.title Canonical induction for trivial source rings en_US dc.type Thesis en_US dc.department Department of Mathematics en_US dc.publisher Bilkent University en_US dc.description.degree M.S. en_US
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