By serge Bouc
This quantity exposes the idea of biset functors for finite teams, which yields a unified framework for operations of induction, limit, inflation, deflation and delivery through isomorphism. the 1st half recollects 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 hard and fast best quantity p. This comprises the constitution of the functor of rational representations and rational p-biset functors. The final chapters reveal 3 purposes of biset functors to long-standing open difficulties, particularly the constitution of the Dade crew of an arbitrary finite p-group.This ebook is meant either to scholars and researchers, because it offers a didactic exposition of the fundamentals and a rewriting of complex ends up in 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