02217nam a22003618a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020002900141020003000170040002400200050002200224082001600246100003100262245010000293264005200393300005900445336002600504337002600530338003600556490005700592500007300649520089600722650001801618650003201636650002301668776003501691830005801726856007101784CR9780511794506UkCbUP20180107143413.0m|||||o||d||||||||cr||||||||||||100707s2011||||enk     s     ||1 0|eng|d  a9780511794506 (ebook)  z9781107005969 (hardback)  z9781107471931 (paperback)  aUkCbUPcUkCbUPerda00aQA177 b.C73 201100a512/.232221 aCraven, David A.,eauthor.14aThe Theory of Fusion Systems :bAn Algebraic Approach / [electronic resource]cDavid A. Craven. 1aCambridge :bCambridge University Press,c2011.  a1 online resource (384 pages) :bdigital, PDF file(s).  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier0 aCambridge Studies in Advanced Mathematics ;vno. 131  aTitle from publisher's bibliographic system (viewed on 09 Oct 2015).  aFusion 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. 0aFinite groups 0aRepresentations of algebras 0aAlgebraic topology08iPrint version: z9781107005969 0aCambridge Studies in Advanced Mathematics ;vno. 131.40uhttp://dx.doi.org/10.1017/CBO9780511794506zCambridge Books Online