02465nam a22004098a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002400195082001500219100003400234245009200268246004100360260005200401264005200453300005900505336002600564337002600590338003600616490006300652500007300715520097600788650003101764650002301795650002301818700002801841700002601869776003501895786001401930830006401944856004702008CR9781139003841UkCbUP20160624102257.0m|||||o||d||||||||cr||||||||||||110124s2011||||enk s ||1 0|eng|d a9781139003841 (ebook) z9781107601000 (paperback) aUkCbUPcUkCbUPerda00aQA182.5 b.A74 201100a512/.22231 aAschbacher, Michael,eauthor.10aFusion Systems in Algebra and Topology /cMichael Aschbacher, Radha Kessar, Bob Oliver.3 aFusion Systems in Algebra & Topology 1aCambridge :bCambridge University Press,c2011. 1aCambridge :bCambridge University Press,c2011. a1 online resource (330 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 391 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). 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. 0aCombinatorial group theory 0aTopological groups 0aAlgebraic topology1 aKessar, Radha,eauthor.1 aOliver, Bob,eauthor.08iPrint version: z9781107601000 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 391.40uhttp://dx.doi.org/10.1017/CBO9781139003841