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|a 1259208141
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|a 9781470406868
|q (e-book)
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|a 1470406861
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|z 0821822764
|q (pbk.)
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|z 9780821822760
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|b 000069396537
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|a (OCoLC)884584468
|z (OCoLC)1259208141
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|a QA177
|b .G67 1983eb
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|a 510 s
|a 512/.22
|2 19
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|a UAMI
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|a Gorenstein, Daniel,
|e author.
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4 |
|a The local structure of finite groups of characteristic 2 type /
|c Daniel Gorenstein and Richard Lyons.
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| 264 |
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|a Providence, Rhode Island :
|b American Mathematical Society,
|c [1983]
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|c Ã1983
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| 300 |
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|a 1 online resource (742 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 number 276
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| 504 |
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|a Includes bibliographical references (pages 723-731).
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|a Print version record.
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|a Table of Contents -- Acknowledgements -- General Introduction -- Part I: Properties of K-groups and Preliminary Lemmas -- Chapter 1. Introduction -- 1. Notation -- 2. p-layers -- 3. The known simple groups -- 4. Preliminaries concerning groups of Lie type -- 5. Basic properties of the sporadic groups -- Chapter 2. Decorations of the known simple groups -- 6. Schur multipliers and covering groups of the known simple groups -- 7. Automorphisms of the known simple groups -- Chapter 3. Local subgroups of the known simple groups.
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|a 8. The local structure of classical groups, as seen on their natural modules -- 9. Outer automorphisms of Chevalley groups -- 10. Sylow structure, p-rank, and 2-local p-rank of the known simple groups -- 11. The permutation action of large elementary abelian p-groups on p-components of K-groups -- 12. p-fusion in the known simple groups -- 13. Parabolic subgroups of Chevalley groups -- 14. Subcomponents and pumpups of the known simple groups -- 15. Action of commuting p-elements on subcomponents of known simple groups -- 16. Splitting primes for groups in Chev (2)
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|a 17. Standard subcomponents of groups in Chev (2) -- Chapter 4. Balance and signalizers -- 18. L[sub(p)], -balance and related results -- 19. Local and global balance -- 20. Signalizers in the known simple groups -- 21. Signalizer functors -- Chapter 5. Generational properties of K-groups -- 22. Generation -- 23. Generation of K-groups -- 24. Strongly p-embedded subgroups and proper k-generated cores in K-groups -- 25. Generation of pumpups of the known simple groups -- 26. Existence of layers -- 27. Balance vs. generation -- Chapter 6. Factorizations -- 28. Factorizations in K-groups.
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|a Chapter 7. Miscellaneous general results and lemmas about K-groups -- 29. Groups with self-centralizing elementary abelian subgroups of low rank -- 30. Miscellaneous special lemmas -- 31. p-groups and connectedness -- 32. Miscellaneous general lemmas -- 33. The fundamental property of groups of characteristic 2 type -- Appendix -- 34. Elements of order 3 in Chevalley groups of characteristic 2 -- Part II: The Trichotomy Theorem -- Chapter 1. Odd standard form -- 1. Introduction -- 2. A preliminary lemma -- 3. The p-constrained case -- 4. Maximal p-components -- 5. Partial standard form.
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|a 6. The characteristic of L -- 7. The alternating case -- 8. The sporadic case -- 9. Quasisimplicity -- 10. The embedding of B: field automorphisms -- 11. The embedding of B: splitting and half-splitting primes -- 12. Neighbors -- 13. Coda -- Chapter 2. Signalizer functors and weak proper 2-generated p- cores -- 1. Introduction -- 2. Balance -- 3. The p- components of 1[sub(b)] -- 4. Signalizer functors and pre-uniqueness subgroups -- 5. Case (IV): existence of extremal elements of B[sup(1)][sub(max)] (G -- 3) -- 6. Case (IV): some properties of extremal elements.
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| 546 |
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|a English.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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|a Finite simple groups.
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| 650 |
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6 |
|a Groupes simples finis.
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| 650 |
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7 |
|a Finite simple groups
|2 fast
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| 700 |
1 |
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|a Lyons, Richard,
|d 1945-
|e author.
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| 758 |
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|i has work:
|a The local structure of finite groups of characteristic 2 type (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCXDpWBRRCbVg4wQCD4M6w3
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Gorenstein, Daniel.
|t Local structure of finite groups of characteristic 2 type.
|d Providence, Rhode Island : American Mathematical Society, [1983]
|h vii, 731 ; 26 cm
|k Memoirs of the American Mathematical Society ; no. 276
|x 0065-9266
|z 9780821822760
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| 830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 276.
|
| 856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113677
|z Texto completo
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| 936 |
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|a BATCHLOAD
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|b EBLB
|n EBL3113677
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|a ebrary
|b EBRY
|n ebr10882336
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| 994 |
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|a 92
|b IZTAP
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