Nika, Andi2018-09-242018-09-242018-092018-092018-09-24http://hdl.handle.net/11693/47967Cataloged from PDF version of article.Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2018.Includes bibliographical references (leaves 55).During the 1980's Puig developed a new approach to modular representation theory, introducing new p-local invariants and thereby extending Green's work on G-algebras. We investigate the Puig category, commenting on its local structure and then introduce a new notion, namely pandemic fusion, which extends the Puig's axioms globally on the G-algebra. Finally we give a sketch of the proof on the existence of some p-permutation FG-module realizing the minimal pandemic fusion system.vii, 55 leaves ; 30 cm.Englishinfo:eu-repo/semantics/openAccessPandemic FusionG-AlgebraP-Permutation ModuleThesisB159024