000 02524nam a22004338a 4500
001 CR9781139003841
003 UkCbUP
005 20160624102257.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 110124s2011||||enk s ||1 0|eng|d
020 _a9781139003841 (ebook)
020 _z9781107601000 (paperback)
040 _aUkCbUP
_cUkCbUP
_erda
050 0 0 _aQA182.5
_b.A74 2011
082 0 0 _a512/.2
_223
100 1 _aAschbacher, Michael,
_eauthor.
245 1 0 _aFusion Systems in Algebra and Topology /
_cMichael Aschbacher, Radha Kessar, Bob Oliver.
246 3 _aFusion Systems in Algebra & Topology
260 1 _aCambridge :
_bCambridge University Press,
_c2011.
264 1 _aCambridge :
_bCambridge University Press,
_c2011.
300 _a1 online resource (330 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 391
500 _aTitle from publisher's bibliographic system (viewed on 16 Oct 2015).
520 _aA fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.
650 0 _aCombinatorial group theory
650 0 _aTopological groups
650 0 _aAlgebraic topology
700 1 _aKessar, Radha,
_eauthor.
700 1 _aOliver, Bob,
_eauthor.
776 0 8 _iPrint version:
_z9781107601000
786 _dCambridge
830 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 391.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9781139003841
942 _2EBK12044
_cEBK
999 _c41338
_d41338