Fusion systems in algebra and topology
 Author/Creator
 Aschbacher, Michael, 1944
 Language
 English.
 Imprint
 Cambridge ; New York, N.Y. : Cambridge University Press, 2011.
 Physical description
 vi, 320 p. : ill. ; 23 cm.
 Series
 London Mathematical Society lecture note series ; 391.
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. 306313) and index.
 Contents

 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 A fusion system over a pgroup 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 pcompleted 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. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.
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Bibliographic information
 Publication date
 2011
 Responsibility
 Michael Aschbacher, Radha Kessar, Bob Oliver.
 Series
 London mathematical society lecture note series ; 391
 Note
 "The London Mathematical Society"Cover.
 ISBN
 9781107601000
 1107601002