serge Bouc's Biset Functors for Finite Groups (Lecture Notes in PDF

By serge Bouc

ISBN-10: 364211296X

ISBN-13: 9783642112966

This quantity exposes the idea of biset functors for finite teams, which yields a unified framework for operations of induction, restrict, inflation, deflation and shipping 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 set top 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, particularly the constitution of the Dade workforce of an arbitrary finite p-group.This booklet is meant either to scholars and researchers, because it offers a didactic exposition of the fundamentals and a rewriting of complex leads to the realm, with a few new principles and proofs.

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Biset Functors for Finite Groups (Lecture Notes in Mathematics) by serge Bouc

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