03482nam 22007332 450 991078196120332120151005020621.01-107-23223-61-139-10184-61-139-10364-41-299-40566-51-139-10118-81-139-09916-71-139-00384-4(CKB)2550000000061523(EBL)802953(OCoLC)826452027(SSID)ssj0000572390(PQKBManifestationID)11349097(PQKBTitleCode)TC0000572390(PQKBWorkID)10528654(PQKB)11676618(UkCbUP)CR9781139003841(Au-PeEL)EBL802953(CaPaEBR)ebr10576305(CaONFJC)MIL471816(MiAaPQ)EBC802953(PPN)261367102(EXLCZ)99255000000006152320110124d2011|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierFusion systems in algebra and topology /Michael Aschbacher, Radha Kessar, Bob Oliver[electronic resource]Cambridge :Cambridge University Press,2011.1 online resource (vi, 320 pages) digital, PDF file(s)London Mathematical Society lecture note series ;391Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-139-09986-8 1-107-60100-2 Includes bibliographical references and index.Introduction to fusion systems -- The local theory of fusion systems -- Fusion and homotopy theory -- Fusion and representation theory -- Appendix A. Background facts about groups.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. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.London Mathematical Society lecture note series ;391.Fusion Systems in Algebra & TopologyCombinatorial group theoryTopological groupsAlgebraic topologyCombinatorial group theory.Topological groups.Algebraic topology.512/.2MAT002000bisacshAschbacher Michael1944-61453Kessar RadhaOliver Robert1949-UkCbUPUkCbUPBOOK9910781961203321Fusion systems in algebra and topology3761524UNINA