The generalized Fitting subsystem of a fusion system

The generalized Fitting subsystem of a fusion system / Michael Aschbacher.

"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. We seek to build a local theory of fusion systems, analogous to the local theory o...

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Bibliographic Details
Main Author: Aschbacher, Michael, 1944-
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, 2011, ©2010.
Series:Memoirs of the American Mathematical Society ; no. 986.
Subjects:
Sylow subgroups.
Algebraic topology.
MATHEMATICS > Algebra > Intermediate.
Algebraic topology
Sylow subgroups
Online Access:Click for online access
Table of Contents:
  • Introduction Chapter 1. Background Chapter 2. Direct products Chapter 3. $\mathcal {E}_1 \wedge \mathcal {E}_2$ Chapter 4. The product of strongly closed subgroups Chapter 5. Pairs of commuting strongly closed subgroups Chapter 6. Centralizers Chapter 7. Characteristic and subnormal subsystems Chapter 8. $T \mathcal {F}_0$ Chapter 9. Components Chapter 10. Balance Chapter 11. The fundamental group of $\mathcal {F}^c$ Chapter 12. Factorizing morphisms Chapter 13. Composition series Chapter 14. Constrained systems Chapter 15. Solvable fusion systems Chapter 16. Fusion systems in simple groups Chapter 17. An example.

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