LEADER 04778nam 2200601 450 001 9910480566203321 005 20170821171622.0 010 $a1-4704-0686-1 035 $a(CKB)3360000000464460 035 $a(EBL)3113677 035 $a(SSID)ssj0000889041 035 $a(PQKBManifestationID)11549039 035 $a(PQKBTitleCode)TC0000889041 035 $a(PQKBWorkID)10875168 035 $a(PQKB)11089438 035 $a(MiAaPQ)EBC3113677 035 $a(PPN)195411587 035 $a(EXLCZ)993360000000464460 100 $a19821214h19831983 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe local structure of finite groups of characteristic 2 type /$fDaniel Gorenstein and Richard Lyons 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1983] 210 4$dİ1983 215 $a1 online resource (742 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 276 300 $aDescription based upon print version of record. 311 $a0-8218-2276-4 320 $aBibliography: pages 723-731. 327 $a""Table of Contents""; ""Acknowledgements""; ""General Introduction""; ""Part I: Properties of K-groups and Preliminary Lemmas""; ""Chapter 1. Introduction""; ""A?1. Notation""; ""A?2. p-layers""; ""A?3. The known simple groups""; ""A?4. Preliminaries concerning groups of Lie type""; ""A?5. Basic properties of the sporadic groups""; ""Chapter 2. Decorations of the known simple groups""; ""A?6. Schur multipliers and covering groups of the known simple groups""; ""A?7. Automorphisms of the known simple groups""; ""Chapter 3. Local subgroups of the known simple groups"" 327 $a""A?8. The local structure of classical groups, as seen on their natural modules""""A?9. Outer automorphisms of Chevalley groups""; ""A?10. Sylow structure, p-rank, and 2-local p-rank of the known simple groups""; ""A?11. The permutation action of large elementary abelian p-groups on p-components of K-groups""; ""A?12. p-fusion in the known simple groups""; ""A?13. Parabolic subgroups of Chevalley groups""; ""A?14. Subcomponents and pumpups of the known simple groups""; ""A?15. Action of commuting p-elements on subcomponents of known simple groups"" 327 $a""A?16. Splitting primes for groups in Chev (2)""""A?17. Standard subcomponents of groups in Chev (2)""; ""Chapter 4. Balance and signalizers""; ""A?18. L[sub(p)],-balance and related results""; ""A?19. Local and global balance""; ""A?20. Signalizers in the known simple groups""; ""A?21. Signalizer functors""; ""Chapter 5. Generational properties of K-groups""; ""A?22. Generation""; ""A?23. Generation of K-groups""; ""A?24. Strongly p-embedded subgroups and proper k-generated cores in K-groups""; ""A?25. Generation of pumpups of the known simple groups""; ""A?26. Existence of layers"" 327 $a""A?27. Balance vs. generation""""Chapter 6. Factorizations""; ""A?28. Factorizations in K-groups""; ""Chapter 7. Miscellaneous general results and lemmas about K-groups""; ""A?29. Groups with self-centralizing elementary abelian subgroups of low rank""; ""A?30. Miscellaneous special lemmas""; ""A?31. p-groups and connectedness""; ""A?32. Miscellaneous general lemmas""; ""A?33. The fundamental property of groups of characteristic 2 type""; ""Appendix""; ""A?34. Elements of order 3 in Chevalley groups of characteristic 2""; ""Part II: The Trichotomy Theorem""; ""Chapter 1. Odd standard form"" 327 $a""A?1. Introduction""""A?2. A preliminary lemma""; ""A?3. The p-constrained case""; ""A?4. Maximal p-components""; ""A?5. Partial standard form""; ""A?6. The characteristic of L""; ""A?7. The alternating case""; ""A?8. The sporadic case""; ""A?9. Quasisimplicity""; ""A?10. The embedding of B: field automorphisms""; ""A?11. The embedding of B: splitting and half-splitting primes""; ""A?12. Neighbors""; ""A?13. Coda""; ""Chapter 2. Signalizer functors and weak proper 2-generated p- cores""; ""A?1. Introduction""; ""A?2. Balance""; ""A?3. The p- components of 1[sub(b)]"" 327 $a""A?4. Signalizer functors and pre-uniqueness subgroups"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 276. 606 $aFinite simple groups 608 $aElectronic books. 615 0$aFinite simple groups. 676 $a510 s 676 $a512/.22 700 $aGorenstein$b Daniel$042741 702 $aLyons$b Richard$f1945- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480566203321 996 $aThe local structure of finite groups of characteristic 2 type$91922530 997 $aUNINA