Büyükçolak, Yasemin2016-01-082016-01-082013http://hdl.handle.net/11693/15953Ankara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent University, 2013.Thesis (Master's) -- Bilkent University, 2013.Includes bibliographical references leaves 68-70.We discuss the canonical induction formula for some special Mackey functors by following the construction of Boltje. These functors are the ordinary and modular character rings and the trivial source rings. Making use of a natural correspondence between the Mackey algebra and the finite algebra spanned by the three kinds of basic bisets, namely the conjugation, restriction and induction, we investigate the canonical induction formula in terms of the theory of bisets. We focus on the trivial source rings and the canonical induction formula for them. The main aim is to get an explicit formula for the canonical induction of regular bimodules in the trivial source. This gives a first step towards for the canonical induction of blocks.vii, 70 leavesEnglishinfo:eu-repo/semantics/openAccessCanonical inductionregular bimodulesmonomial ringtrivial source ringMackey functorbiset functorQA169 .B89 2013Functor theory.Induction (Mathematics)Rings (Algebra)Thesis