The theory of fusion systems : an algebraic approach
 Responsibility
 David A. Craven.
 Language
 English.
 Imprint
 Cambridge, UK ; New York : Cambridge University Press, 2011.
 Physical description
 xii, 371 p. : ill. ; 24 cm.
 Series
 Cambridge studies in advanced mathematics ; 131.
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

QA177 .C73 2011  Unknown 
More options
Creators/Contributors
 Author/Creator
 Craven, David A.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [358]363) and indexes.
 Contents

 Preface Part I. Motivation: 1. Fusion in finite groups 2. Fusion in representation theory 3. Fusion in topology Part II. The Theory: 4. Fusion systems 5. Weakly normal subsystems, quotients, and morphisms 6. Proving saturation 7. Control in fusion systems 8. Local theory of fusion systems 9. Exotic fusion systems References Index of notation Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Fusion systems are a recent development in finite group theory and sit at the intersection of algebra and topology. This book is the first to deal comprehensively with this new and expanding field, taking the reader from the basics of the theory right to the state of the art. Three motivational chapters, indicating the interaction of fusion and fusion systems in group theory, representation theory and topology are followed by six chapters that explore the theory of fusion systems themselves. Starting with the basic definitions, the topics covered include: weakly normal and normal subsystems; morphisms and quotients; saturation theorems; results about control of fusion; and the local theory of fusion systems. At the end there is also a discussion of exotic fusion systems. Designed for use as a text and reference work, this book is suitable for graduate students and experts alike.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2011
 Series
 Cambridge studies in advanced mathematics ; 131
 ISBN
 9781107005969 (hbk.)
 1107005965 (hbk.)