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.

The first book to deal comprehensively with the theory of fusion systems.

About the Author
David A. Craven is a Junior Research Fellow in the Mathematical Institute at the University of Oxford.

Reviews
"Craven's efforts to collect together in one work all of the main achievements stem from an excellent intention, and the book establishes a unified terminology for fusion systems, limiting the spread of conflicting definitions." Nadia P. Mazza, Mathematical Reviews
"This very welcome book originates from a workshop on fusion systems held at the University of Birmingham in 2007 and is one of the first two texts on the subject, appearing at approximately the same time... The book serves as an excellent introduction to the subject and a guide to up to the cutting edget of current research." Charles W. Eaton, Mathematical Reviews



Book Information
ISBN 9781107005969
Author David A. Craven
Format Hardback
Page Count 384
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 660g
Dimensions(mm) 235mm * 158mm * 23mm