The Generalized Fitting Subsystem of a Fusion System Paperback / softback
by Michael Aschbacher
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
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-Hölder 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-Hölder theorem for fusion systems.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:110 pages
- Publisher:American Mathematical Society
- Publication Date:28/02/2011
- Category:
- ISBN:9780821853030
Other Formats
- PDF from £66.60
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:110 pages
- Publisher:American Mathematical Society
- Publication Date:28/02/2011
- Category:
- ISBN:9780821853030