01872cam a22002774a 4500 110504s2011 enka 001 0 eng 9781107601000 1107601002 SDU QA182.5 A812 F 2011 Aschbacher, Michael. 192474 Fusion systems in algebra and topology / Michael Aschbacher, Radha Kessar, Bob Oliver. Cambridge ; New York : Cambridge University Press, 2011. 320 p. : ill. London mathematical society lecture note series ; 391 Includes index. HKBU Library "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"-- Combinatorial group theory. 192475 Topological groups. Algebraic topology. 192477 Kessar, Radha. 192478 Oliver, Robert, 1949- 192479 = C.1 SDU GBE lcc 103750 103750 0 0 lcc 0 QA01825 A812 F2011 0 CGB 284014 SDU SDU GEN3 2025-10-06 2 0 QA182.5 A812 F 2011 1000385148 2025-10-06 00:00:00 C.1 2025-10-06 GBE