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Fusion Systems in Algebra and Topology

  • Couverture cartonnée
  • 330 Nombre de pages
"A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain inje... Lire la suite
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Description

"A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. The book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians"--

Auteur

Michael Aschbacher is the Shaler Arthur Hanisch Professor of Mathematics at the California Institute of Technology. Radha Kessar is a Reader in the Institute of Mathematics at the University of Aberdeen. Bob Oliver is a Professor in the Laboratoire Analyse, Geometrie et Applications (LAGA) at the Universite de Paris XIII.



Texte du rabat

Combines a detailed exposition of the basics of fusion systems with a survey of the current state of the field.



Contenu

Introduction; 1. Introduction to fusion systems; 2. The local theory of fusion systems; 3. Fusion and homotopy theory; 4. Fusion and representation theory; Appendix. Background facts about groups; References; List of notation; Index.

Détails sur le produit

Titre: Fusion Systems in Algebra and Topology
Auteur:
Code EAN: 9781107601000
ISBN: 978-1-107-60100-0
Format: Couverture cartonnée
Editeur: Cambridge University Press
Genre: Mathématique
nombre de pages: 330
Poids: 490g
Taille: H227mm x B155mm x T10mm
Année: 2011