The Theory of Fusion Systems
An Algebraic Approach
£77.99
Part of Cambridge Studies in Advanced Mathematics
- Author: David A. Craven, University of Oxford
- Date Published: June 2011
- availability: Available
- format: Hardback
- isbn: 9781107005969
£
77.99
Hardback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
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.
Read more- The first book to bring together all of the literature in the field, making it accessible to first-time learners
- Almost 100 exercises aid the reader's learning
- Includes new proofs, providing multiple ways of viewing theorems
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: June 2011
- format: Hardback
- isbn: 9781107005969
- length: 384 pages
- dimensions: 235 x 158 x 23 mm
- weight: 0.66kg
- contains: 95 exercises
- availability: Available
Table of 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.-
General Resources
Find resources associated with this title
Type Name Unlocked * Format Size Showing of
This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.
Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.
Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.
If you are having problems accessing these resources please contact lecturers@cambridge.org.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×