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Item Details
| Title:
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THE GENERALIZED FITTING SUBSYSTEM OF A FUSION SYSTEM
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| By: |
Michael Aschbacher |
| Format: |
Paperback |
| List price:
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£69.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821853031 |
| ISBN 13: |
9780821853030 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 February, 2011 |
| Series: |
Memoirs of the American Mathematical Society 209, 986 |
| Pages: |
110 |
| Description: |
Seeking to build a local theory of fusion systems, analogous to the local theory of finite groups, involving normal subsystems and factor systems, the author also 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. |
| Synopsis: |
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.|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. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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