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Frobenius Categories versus Brauer Blocks The Grothendieck Group of the Frobenius Category of a Brauer Block /
This book contributes to important questions in the representation theory of finite groups over fields of positive characteristic - an area of research initiated by Richard Brauer sixty years ago with the introduction of the blocks of characters. On the one hand, it introduces and develops the abstr...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Progress in Mathematics,
274 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- General notation and quoted results
- Frobenius P-categories: the first definition
- The Frobenius P-category of a block
- Nilcentralized, selfcentralizing and intersected objects in Frobenius P-categories
- Alperin fusions in Frobenius P-categories
- Exterior quotient of a Frobenius P-category over the selfcentralizing objects
- Nilcentralized and selfcentralizing Brauer pairs in blocks
- Decompositions for Dade P-algebras
- Polarizations for Dade P-algebras
- A gluing theorem for Dade P-algebras
- The nilcentralized chain k*-functor of a block
- Quotients and normal subcategories in Frobenius P-categories
- The hyperfocal subcategory of a Frobenius P-category
- The Grothendieck groups of a Frobenius P-category
- Reduction results for Grothendieck groups
- The local-global question: reduction to the simple groups
- Localities associated with a Frobenius P-category
- The localizers in a Frobenius P-category
- Solvability for Frobenius P-categories
- A perfect F-locality from a perfect Fsc -locality
- Frobenius P-categories: the second definition
- The basic F-locality
- Narrowing the basic Fsc-locality
- Looking for a perfect Fsc-locality.