Informationen zum Autor Michael Aschbacher is the Shaler Arthur Hanisch Professor of Mathematics at the California Institute of Technology. Klappentext Combines a detailed exposition of the basics of fusion systems with a survey of the current state of the field. Zusammenfassung The new field of fusion systems and their classifying spaces lies on the frontier of group theory! representation theory and algebraic topology. This book provides a detailed exposition of the foundational material and surveys the current state of the art! including the key theorems and open problems. Inhaltsverzeichnis 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.

Texte du rabat

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

Résumé
The new field of fusion systems and their classifying spaces lies on the frontier of group theory, representation theory and algebraic topology. This book provides a detailed exposition of the foundational material and surveys the current state of the art, including the key theorems and open problems.

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.