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...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2010. |
| سلاسل: | Lecture Notes in Mathematics
1990 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
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 |
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| 009 | PPN149078641 | ||
| 020 | |a 9783642112973 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.2 | ||
| 082 | |a 512 | ||
| 082 | |a 510 | ||
| 084 | |a 20J15. 2010 | ||
| 084 | |a 19A22. 2010 | ||
| 084 | |a 20C15. 2010 | ||
| 084 | |a 20G05. 2010 | ||
| 100 | 1 | |a Bouc, Serge, |c mathématicien. | |
| 245 | 1 | 0 | |a Biset Functors for Finite Groups |c Serge Bouc. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 1990 |x 1617-9692 | |
| 500 | |a L'impression du document génère 293 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Théorie des foncteurs | ||
| 650 | |a Groupes finis | ||
| 650 | |a Mathématiques | ||
| 650 | |a K-théorie | ||
| 650 | |a Groupes, Théorie des | ||
| 776 | 0 | |0 143372483 |t Biset functors for finite groups |f Serge Bouc |c Berlin |n Springer |d 2010 |p 1 vol. (IX-299 p.) |s Lecture notes in mathematics |z 978-3-642-11296-6 | |
| 776 | 0 | |t Biset Functors for Finite Groups |b Texte imprimé |z 9783642113147 | |
| 776 | 0 | |0 143372483 |t Biset functors for finite groups |f Serge Bouc |c Berlin |n Springer |d 2010 |p 1 vol. (IX-299 p.) |s Lecture notes in mathematics |z 978-3-642-11296-6 | |
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