Puig Frobenius Categories versus Brauer Blocks
1. Auflage 2009
ISBN: 978-3-7643-9998-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
The Grothendieck Group of the Frobenius Category of a Brauer Block
E-Book, Englisch, 498 Seiten, Web PDF
Reihe: Mathematics and Statistics
ISBN: 978-3-7643-9998-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
