On some of the simple composition factors of the biset functor of P-permutation modules
| buir.advisor | Barker, Laurence J. | |
| dc.contributor.author | Karagüzel, Çisil | |
| dc.date.accessioned | 2016-08-22T09:31:54Z | |
| dc.date.available | 2016-08-22T09:31:54Z | |
| dc.date.copyright | 2016-07 | |
| dc.date.issued | 2016-07 | |
| dc.date.submitted | 2016-08-04 | |
| dc.department | Department of Mathematics | en_US |
| dc.description | Cataloged from PDF version of article. | en_US |
| dc.description | Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2016. | en_US |
| dc.description | Includes bibliographical references (leaves 74-75). | en_US |
| dc.description.abstract | Let k be an algebraically closed field of characteristic p, which is a prime, and C denote the field of complex numbers. Given a finite group G, letting ppk(G) denote the Grothendieck group of p-permutation kG-modules, we consider the biset functor of p-permutation modules, Cppk, by tensoring with C. By a theorem of Serge Bouc, it is known that the simple biset functors S H,V are parametrized by pairs (H, V ) where H is a finite group, and V is a simple COut(H)-module. At present, the full classification of the simple biset functors apparent in Cppk is not known. In this thesis, we find new simple functors SH;V apparent in Cppk where H is a specific type of p-hypo-elementary B-group. The technique for this result makes use of Maxime Ducellier's notion of a p-permutation functor and his use of D-pairs to classify the simple factors of the p-permutation functor of p-permutation modules Cpppk p-perm. | en_US |
| dc.description.degree | M.S. | en_US |
| dc.description.statementofresponsibility | by Çisil Karagüzel. | en_US |
| dc.embargo.release | 2018-08-04 | |
| dc.format.extent | 75 leaves. | en_US |
| dc.identifier.itemid | B153725 | |
| dc.identifier.uri | http://hdl.handle.net/11693/32153 | |
| dc.language.iso | English | en_US |
| dc.publisher | Bilkent University | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Biset functors | en_US |
| dc.subject | P-permutation modules | en_US |
| dc.subject | Simple composition factors | en_US |
| dc.title | On some of the simple composition factors of the biset functor of P-permutation modules | en_US |
| dc.title.alternative | P-permütasyon ikili izleçlerinin bazı basit komposizyon faktörleri | en_US |
| dc.type | Thesis | en_US |