Okur, Utku2020-08-282020-08-282020-082020-082020-08-13http://hdl.handle.net/11693/53964Cataloged from PDF version of article.Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2020.Includes bibliographical references (leave 85).For a finite group G and an algebraically closed field k of characteristic p, a k-algebra A with a G-action is called a G-algebra. A pair (P,c) such that P is a p-subgroup of G and c is a block idempotent of the G-algebra A(P)is called a Brauer pair. Brauer pairs form a refinement of the G-poset of p-subgroups of a finite group G. We define the ordinary Mackey category B of Brauer pairs on an interior p-permutation G-algebra A over an algebraically closed field k of characteristic p. We then show that, given a field K of characteristic zero and a primitive idempotent f ∈ AG, then the category algebra of Bf over K is semisimple.vi, 85 leaves ; 30 cm.Englishinfo:eu-repo/semantics/openAccessBrauer pairMackey decompositionThesisB150793