| Titre : | The generalized fitting subsystem of a fusion system | | Type de document : | texte imprimé | | Auteurs : | Michael ASCHBACHER, Auteur | | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | | Année de publication : | cop. 2010 | | Collection : | Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 986 | | Importance : | V-110 p. | | ISBN/ISSN/EAN : | 978-0-8218-5303-0 | | Langues : | Anglais | | Catégories : | 20D20
55R35
| | Mots-clés : | sous-groupe de Sylow topologie algébrique | | Résumé : | 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. | | Note de contenu : | bibliogr. |
The generalized fitting subsystem of a fusion system [texte imprimé] / Michael ASCHBACHER, Auteur . - Providence, R. I. (Etats Unis) : American Mathematical Society, cop. 2010 . - V-110 p.. - ( Memoirs of the American Mathematical Society, ISSN 0065-9266; 986) . ISBN : 978-0-8218-5303-0 Langues : Anglais | Catégories : | 20D20
55R35
| | Mots-clés : | sous-groupe de Sylow topologie algébrique | | Résumé : | 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. | | Note de contenu : | bibliogr. |
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