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dc.contributor.advisorYalçın, Ergün
dc.contributor.authorBahran, Cihan
dc.date.accessioned2016-01-08T18:19:04Z
dc.date.available2016-01-08T18:19:04Z
dc.date.issued2012
dc.identifier.urihttp://hdl.handle.net/11693/15472
dc.descriptionAnkara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent University, 2012.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2012.en_US
dc.descriptionIncludes bibliographical references leaves 101-102.en_US
dc.description.abstractRepresentations of EI-categories occur naturally in algebraic K-theory and algebraic topology (see [4], [10], [12]). In this thesis, we study EI-category representations with finite projective dimension. We apply this general theory to orbit categories of finite groups and prove Rim’s theorem for the orbit category (Theorem B in [5]). It follows from this theorem that, for a fixed prime p, the constant functor over the orbit category of a finite group G with respect to the family of p-subgroups and with coefficients in Z(p) has finite projective dimension, which we denote by pd(G, p). In this thesis, we calculate pd(S4, 2) and pd(S5, 2) explicitly, which are among the first nontrivial cases. We also prove that the constant functor over the orbit category of all subgroups with prime power order and with integral coefficients never has a finite projective resolution unless G itself has prime power order.en_US
dc.description.statementofresponsibilityBahran, Cihanen_US
dc.format.extentvii, 102 leavesen_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEI-categoriesen_US
dc.subjectprojective dimensionen_US
dc.subjectconstant functoren_US
dc.subjectorbit categoriesen_US
dc.subjectRim’s theoremen_US
dc.subject.lccQA169 .B34 2012en_US
dc.subject.lcshCategories (Mathematics)en_US
dc.subject.lcshFunctor theory.en_US
dc.subject.lcshAlgebraic functions.en_US
dc.subject.lcshProjective spaces.en_US
dc.subject.lcshK-theory.en_US
dc.titleProjective resolutions over EI-categoriesen_US
dc.typeThesisen_US
dc.departmentDepartment of Mathematicsen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US


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