02617cam a2200373 a 4500 16690211 BD-DhUL 20140825151548.0 110314s2011 enka b 001 0 eng 2011006354 9781107005969 (hardback) DLC DLC DLC BD-DhUL pcc QA177 .C73 2011 512.23 22 CRP MAT002000 bisacsh Craven, David A. The theory of fusion systems : an algebraic approach / David A. Craven. Cambridge ; New york : Cambridge University Press, c2011. xii, 371 p. : ill. ; 24 cm. USD 64.80 Cambridge studies in advanced mathematics ; 131 Includes bibliographical references (p. [358-]363) and indexes. Machine generated contents note: 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. "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"-- Provided by publisher. Finite groups. Representations of algebras. Algebraic topology. MATHEMATICS / Algebra / General bisacsh. Cover image http://assets.cambridge.org/97811070/05969/cover/9781107005969.jpg 7 cbc orignew 1 ecip 20 y-gencatlg ddc BK xh00 2011-03-14 xh07 2011-03-14 ONIX xe10 2011-11-16 2 copies rec'd., to CIP ver. 5785 5785 0 0 ddc 0 512_230000000000000_CRP 0 NFIC 10040 DUSL DUSL GEN 0000-00-00 Purchased 512.23 CRP 477604 2014-08-25 2014-08-25 BK