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The generalized Fitting subsystem of a fusion system /
"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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2011, ©2010.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 986. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "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 of finite groups, involving normal subsystems and factor systems. Among other results, we define 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. We define a notion of composition series and composition factors, and prove a Jordon-Hölder theorem for fusion systems." |
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| Descripción Física: | 1 online resource (v, 110 pages) |
| Bibliografía: | Includes bibliographical references (pages 109-110). |
| ISBN: | 9781470406004 1470406004 |
| ISSN: | 0065-9266 ; |