By serge Bouc
This quantity exposes the speculation of biset functors for finite teams, which yields a unified framework for operations of induction, limit, inflation, deflation and shipping via isomorphism. the 1st half remembers the fundamentals on biset different types and biset functors. the second one half is anxious with the Burnside functor and the functor of advanced characters, including semisimplicity concerns and an outline of eco-friendly biset functors. The final half is dedicated to biset functors outlined over p-groups for a set major quantity p. This contains the constitution of the functor of rational representations and rational p-biset functors. The final chapters disclose 3 functions of biset functors to long-standing open difficulties, specifically the constitution of the Dade workforce of an arbitrary finite p-group.This ebook is meant either to scholars and researchers, because it supplies a didactic exposition of the fundamentals and a rewriting of complex leads to the realm, with a few new rules and proofs.
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Biset Functors for Finite Groups (Lecture Notes in Mathematics) by serge Bouc