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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 |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2011, ©2010.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 986. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a Aschbacher, Michael, |d 1944- |1 https://id.oclc.org/worldcat/entity/E39PBJcGm66wBrRJJxDHyCgtKd | |
| 245 | 1 | 4 | |a The generalized Fitting subsystem of a fusion system / |c Michael Aschbacher. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2011, ©2010. | ||
| 300 | |a 1 online resource (v, 110 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v no. 986 | |
| 504 | |a Includes bibliographical references (pages 109-110). | ||
| 520 | 3 | |a "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." | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Introduction |t Chapter 1. Background |t Chapter 2. Direct products |t Chapter 3. $\mathcal {E}_1 \wedge \mathcal {E}_2$ |t Chapter 4. The product of strongly closed subgroups |t Chapter 5. Pairs of commuting strongly closed subgroups |t Chapter 6. Centralizers |t Chapter 7. Characteristic and subnormal subsystems |t Chapter 8. $T \mathcal {F}_0$ |t Chapter 9. Components |t Chapter 10. Balance |t Chapter 11. The fundamental group of $\mathcal {F}^c$ |t Chapter 12. Factorizing morphisms |t Chapter 13. Composition series |t Chapter 14. Constrained systems |t Chapter 15. Solvable fusion systems |t Chapter 16. Fusion systems in simple groups |t Chapter 17. An example. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Sylow subgroups. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 6 | |a Sous-groupes de Sylow. | |
| 650 | 6 | |a Topologie algébrique. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 650 | 7 | |a Sylow subgroups |2 fast | |
| 758 | |i has work: |a The generalized fitting subsystem of a fusion system (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG7d3Vpr44PRkX7b6Bcfhd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |a Aschbacher, Michael, 1944- |t Generalized fitting subsystem of a fusion system. |d Providence, R.I. : American Mathematical Society, 2011 |z 9780821853030 |w (DLC) 2010038097 |w (OCoLC)664259317 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 986. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114128 |z Texto completo |
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| 938 | |a EBSCOhost |b EBSC |n 843477 | ||
| 938 | |a YBP Library Services |b YANK |n 12371987 | ||
| 994 | |a 92 |b IZTAP | ||