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The Theory of Fusion Systems: An Algebraic Approach: 131 (Cambridge Studies in Advanced Mathematics, Series Number 131) - Hardcover
Synopsis
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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Review
"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 Description
This is the first book to deal with the new and expanding field of fusion systems, of increasing importance both to algebraists and topologists. Designed for use as a text and reference work, it is suitable for graduate students and experts alike.
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- PublisherCambridge University Press
- Publication date2011
- ISBN 10 1107005965
- ISBN 13 9781107005969
- BindingHardcover
- LanguageEnglish
- Number of pages384
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The Theory of Fusion Systems: An Algebraic Approach
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The Theory of Fusion Systems: An Algebraic Approach (Cambridge Studies in Advanced Mathematics, Series Number 131)
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ISBN 10: 1107005965
ISBN 13: 9781107005969
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Theory of Fusion Systems (Hardcover)
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Hardcover. Condition: new. Hardcover. 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. This is the first book to deal with the new and expanding field of fusion systems, of increasing importance both to algebraists and topologists. Designed for use as a text and reference work, it is suitable for graduate students and experts alike. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781107005969
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Hardcover. Condition: new. Hardcover. 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. This is the first book to deal with the new and expanding field of fusion systems, of increasing importance both to algebraists and topologists. Designed for use as a text and reference work, it is suitable for graduate students and experts alike. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781107005969
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