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20240809213013.0 |
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|d TFW
|d COD
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|d OCLCQ
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|2 Uk
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|a 852969801
|a 893973779
|a 908065768
|a 922981698
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|a 9781470406004
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|a 1470406004
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|z 9780821853030
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|z 0821853031
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|a (OCoLC)699507750
|z (OCoLC)852969801
|z (OCoLC)893973779
|z (OCoLC)908065768
|z (OCoLC)922981698
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|a QA174.2
|b .A83 2011
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|a s1ma
|2 rero
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| 072 |
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|a MAT
|x 002040
|2 bisacsh
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|a HCDD
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1 |
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|a Aschbacher, Michael,
|d 1944-
|1 https://id.oclc.org/worldcat/entity/E39PBJcGm66wBrRJJxDHyCgtKd
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| 245 |
1 |
4 |
|a The generalized Fitting subsystem of a fusion system /
|c Michael Aschbacher.
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| 260 |
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|a Providence, R.I. :
|b American Mathematical Society,
|c 2011, ©2010.
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| 300 |
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|a 1 online resource (v, 110 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v no. 986
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| 504 |
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|a Includes bibliographical references (pages 109-110).
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|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."
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|a Print version record.
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|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.
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| 650 |
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|a Sylow subgroups.
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| 650 |
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|a Algebraic topology.
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| 650 |
|
7 |
|a MATHEMATICS
|x Algebra
|x Intermediate.
|2 bisacsh
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| 650 |
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7 |
|a Algebraic topology
|2 fast
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| 650 |
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7 |
|a Sylow subgroups
|2 fast
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| 758 |
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|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
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| 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
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| 830 |
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0 |
|a Memoirs of the American Mathematical Society ;
|v no. 986.
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| 856 |
4 |
0 |
|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3114128
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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