TY  - BOOK
AU  - Craven,David A.
TI  - The Theory of Fusion Systems: An Algebraic Approach 
T2  - Cambridge Studies in Advanced Mathematics
SN  - 9780511794506 (ebook)
AV  - QA177 .C73 2011
U1  - 512/.23 22
PY  - 2011///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Finite groups
KW  - Representations of algebras
KW  - Algebraic topology
N1  - Title from publisher's bibliographic system (viewed on 04 Apr 2016)
N2  - 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
UR  - http://dx.doi.org/10.1017/CBO9780511794506
ER  -