
On Fusion Systems of Component Type
Michael Aschbacher(Author)
American Mathematical Society (Publisher)
Will be published approx. on 30. March 2019
Book
Paperback/Softback
182 pages
978-1-4704-3520-2 (ISBN)
Description
This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion systems of component type. Such a classification would be of great interest in its own right, but in addition it should lead to a significant simplification of the proof of the theorem classifying the finite simple groups.
Why should such a simplification be possible? Part of the answer lies in the fact that there are advantages to be gained by working with fusion systems rather than groups. In particular one can hope to avoid a proof of the B-Conjecture, a important but difficult result in finite group theory, established only with great effort.
Why should such a simplification be possible? Part of the answer lies in the fact that there are advantages to be gained by working with fusion systems rather than groups. In particular one can hope to avoid a proof of the B-Conjecture, a important but difficult result in finite group theory, established only with great effort.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
275 gr
ISBN-13
978-1-4704-3520-2 (9781470435202)
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Schweitzer Classification
Person
Michael Aschbacher, California Institute of Technology, Pasadena, California.
Content
Introduction
Preliminaries
Some Lemmas on Fusion Systems
Tight embedding
More on tight embedding
Split extensions
Component combinatorics
The proof of Theorem 2
Terminal components
Standard subsystems
Bibliography.
Preliminaries
Some Lemmas on Fusion Systems
Tight embedding
More on tight embedding
Split extensions
Component combinatorics
The proof of Theorem 2
Terminal components
Standard subsystems
Bibliography.