Biset Functors for Finite Groups
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 wit...
Enregistré dans:
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| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2010. |
| Serier: | Lecture Notes in Mathematics
1990 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
L'impression du document génère 293 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Biset functors for finite groups, Serge Bouc, Berlin, Springer, 2010, 1 vol. (IX-299 p.), Lecture notes in mathematics, 978-3-642-11296-6 • Biset Functors for Finite Groups, Texte imprimé, 9783642113147 • Biset functors for finite groups, Serge Bouc, Berlin, Springer, 2010, 1 vol. (IX-299 p.), Lecture notes in mathematics, 978-3-642-11296-6 |
| Summary: | 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 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 |
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| Emne beskrivelse: | L'impression du document génère 293 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografi: | Bibliogr. Index |
| ISBN: | 9783642112973 |
| ISSN: | 1617-9692 |
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