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010   $a1-280-39166-9
010   $a9786613569585
010   $a3-642-11297-8
024 7 $a10.1007/978-3-642-11297-3
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035   $a(SSID)ssj0000449114
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035   $a(PQKBTitleCode)TC0000449114
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035   $a(DE-He213)978-3-642-11297-3
035   $a(MiAaPQ)EBC3065081
035   $a(PPN)149078641
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100   $a20100316d2010      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aBiset Functors for Finite Groups$b[electronic resource] /$fby serge Bouc
205   $a1st ed. 2010.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2010.
215   $a1 online resource (X, 306 p. 4 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1990
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-11296-X 
320   $aIncludes bibliographical references and index.
327   $aExamples -- 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.
330   $aThis volume exposes the theory of biset functors for finite groups, which yields a unified framework for operations of induction, restriction, inflation, deflation and transport by isomorphism. The first part recalls the basics on biset categories and biset functors. The second part is concerned with the Burnside functor and the functor of complex characters, together with semisimplicity issues and an overview of Green biset functors. The last part is devoted to biset functors defined over p-groups for a fixed prime number p. This includes the structure of the functor of rational representations and rational p-biset functors. The last two chapters expose three applications of biset functors to long-standing open problems, in particular the structure of the Dade group of an arbitrary finite p-group.This book is intended both to students and researchers, as it gives a didactic exposition of the basics and a rewriting of advanced results in the area, with some new ideas and proofs.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1990
606   $aGroup theory
606   $aAlgebraic topology
606   $aK-theory
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
606   $aK-Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11086
615  0$aGroup theory.
615  0$aAlgebraic topology.
615  0$aK-theory.
615 14$aGroup Theory and Generalizations.
615 24$aAlgebraic Topology.
615 24$aK-Theory.
676   $a512.2
686   $a20J15$a19A22$a20C15$a20G05$2msc
700   $aBouc$b serge$4aut$4http://id.loc.gov/vocabulary/relators/aut$061645
906   $aBOOK
912   $a996466516903316
996   $aBiset functors for finite groups$9261777
997   $aUNISA