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The Generalized Fitting Subsystem of a Fusion System, PDF eBook

The Generalized Fitting Subsystem of a Fusion System PDF

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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.

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