Biset Functors for Finite Groups This volume exposes the theory of biset functors for finite groups which yields a unified framework for operations of induction restriction inflation deflation and transport by isomorphism. The first part recalls the basics on biset categories and biset functors. The second part is concerned with the Burnside functor and the functor of complex characters together with semisimplicity issues and an overview of Green biset functors. The last part is devoted to biset functors defined over p groups for a fixed prime number p. This includes the structure of the functor of rational representations and rational p biset functors. The last two chapters expose three applications of biset functors to long standing open problems in particular the structure of the Dade group of an arbitrary finite p group.This book is intended both to students and researchers as it gives a didactic exposition of the basics and a rewriting of advanced results in the area with some new ideas and proofs Examples General properties Sets and ( ) Bisets Biset Functors Simple Functors Biset functors on replete subcategories The Burnside Functor Endomorphism Algebras The Functor Tensor Product and Internal Hom p biset functors Rational Representations of Groups Biset Functors Applications The Dade Group