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.
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