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Record Nr. |
UNISA996466516903316 |
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Autore |
Bouc serge |
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Titolo |
Biset Functors for Finite Groups [[electronic resource] /] / by serge Bouc |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 |
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ISBN |
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1-280-39166-9 |
9786613569585 |
3-642-11297-8 |
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Edizione |
[1st ed. 2010.] |
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Descrizione fisica |
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1 online resource (X, 306 p. 4 illus.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1990 |
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Classificazione |
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Disciplina |
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Soggetti |
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Group theory |
Algebraic topology |
K-theory |
Group Theory and Generalizations |
Algebraic Topology |
K-Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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