Frobenius Categories versus Brauer Blocks The Grothendieck Group of the Frobenius Category of a Brauer Block /

• Κύριος συγγραφέας: Puig, Lluís (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2009.
• Σειρά: Progress in Mathematics ; 274
• Θέματα: Mathematics.; Group theory.; Algebraic topology.; Group Theory and Generalizations.; Algebraic Topology.

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...

Πίνακας περιεχομένων:

• 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.