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The Generalized Fitting Subsystem of a Fusion System - Memoirs of the American Mathematical Society (Paperback)
  • The Generalized Fitting Subsystem of a Fusion System - Memoirs of the American Mathematical Society (Paperback)
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The Generalized Fitting Subsystem of a Fusion System - Memoirs of the American Mathematical Society (Paperback)

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£73.50
Paperback 110 Pages / Published: 28/02/2011
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The notion of a fusion system was first defined and explored by Puig, in the context of modular representation theory. Later, Broto, Levi, and Oliver extended the theory and used it as a tool in homotopy theory. The author seeks to build a local theory of fusion systems, analogous to the local theory of finite groups, involving normal subsystems and factor systems. Among other results, he defines the notion of a simple system, the generalized Fitting subsystem of a fusion system, and prove the L-balance theorem of Gorenstein and Walter for fusion systems. He defines a notion of composition series and composition factors and proves a Jordon-Hoelder theorem for fusion systems.|The notion of a fusion system was first defined and explored by Puig, in the context of modular representation theory. Later, Broto, Levi, and Oliver extended the theory and used it as a tool in homotopy theory. The author seeks to build a local theory of fusion systems, analogous to the local theory of finite groups, involving normal subsystems and factor systems. Among other results, he defines the notion of a simple system, the generalized Fitting subsystem of a fusion system, and prove the L-balance theorem of Gorenstein and Walter for fusion systems. He defines a notion of composition series and composition factors and proves a Jordon-Hoelder theorem for fusion systems.

Publisher: American Mathematical Society
ISBN: 9780821853030
Number of pages: 110
Dimensions: 229 x 152 mm

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