The Theory of Fusion Systems(English, Hardcover, Craven David A.)

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The Theory of Fusion Systems(English, Hardcover, Craven David A.) is written by Craven David A. and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 1107005965 (ISBN 10) and 9781107005969 (ISBN 13).

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.