000			01872cam a22002774a 4500
008			110504s2011 enka 001 0 eng
020			_a9781107601000
020			_a1107601002
040			_aSDU
050	0	0	_aQA182.5 _bA812 F 2011
100	1		_aAschbacher, Michael. _9192474
245	1	0	_aFusion systems in algebra and topology / _cMichael Aschbacher, Radha Kessar, Bob Oliver.
260			_aCambridge ; _aNew York : _bCambridge University Press, _c2011.
300			_a320 p. : _bill.
490	1		_aLondon mathematical society lecture note series ; _v391
500			_aIncludes index.
505			_aHKBU Library
520			_a"A 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. The 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. _9192475
650		0	_aTopological groups.
650		0	_aAlgebraic topology. _9192477
700	1		_aKessar, Radha. _9192478
700	1		_aOliver, Robert, _d1949- _9192479
900			_a = C.1 SDU
942			_cGBE _2lcc
999			_c103750 _d103750