The Generalized Fitting Subsystem of a Fusion System
Jan 2011 · American Mathematical Soc.
Ebook
110
Pages
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About this ebook
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-Holder theorem for fusion systems.
About the author
Michael Aschbacher, California Institute of Technology, Pasadena, CA
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