Öğüt, İsmail Alperen2020-09-172020-09-172020-092020-092020-09-16http://hdl.handle.net/11693/54044Cataloged from PDF version of article.Thesis (Ph.D.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2020.Includes bibliographical references (leaves 48-49).We 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.v, 49 leaves ; 30 cm.Englishinfo:eu-repo/semantics/openAccessBiset functorFibred biset functorSubgroup categoryPartial categorySemisimplicitySemisimple deformationThesisB160496