000 02617cam a2200373 a 4500
001 16690211
003 BD-DhUL
005 20140825151548.0
008 110314s2011 enka b 001 0 eng
010 _a 2011006354
020 _a9781107005969 (hardback)
040 _aDLC
_cDLC
_dDLC
_dBD-DhUL
042 _apcc
050 0 0 _aQA177
_b.C73 2011
082 0 0 _a512.23
_222
_bCRP
084 _aMAT002000
_2bisacsh
100 1 _aCraven, David A.
245 1 4 _aThe theory of fusion systems :
_ban algebraic approach /
_cDavid A. Craven.
260 _aCambridge ;
_aNew york :
_bCambridge University Press,
_cc2011.
300 _axii, 371 p. :
_bill. ;
_c24 cm.
365 _aUSD
_b64.80
490 0 _aCambridge studies in advanced mathematics ;
_v131
504 _aIncludes bibliographical references (p. [358-]363) and indexes.
505 8 _aMachine 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.
520 _a"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"--
_cProvided by publisher.
650 0 _aFinite groups.
650 0 _aRepresentations of algebras.
650 0 _aAlgebraic topology.
650 7 _aMATHEMATICS / Algebra / General
_2bisacsh.
856 4 2 _3Cover image
_uhttp://assets.cambridge.org/97811070/05969/cover/9781107005969.jpg
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
_cBK
955 _bxh00 2011-03-14
_cxh07 2011-03-14 ONIX
_axe10 2011-11-16 2 copies rec'd., to CIP ver.
999 _c5785
_d5785