The local structure of finite groups of characteristic 2 type / / Daniel Gorenstein and Richard Lyons

• Autore: Gorenstein Daniel
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1983]; ©1983
• Descrizione fisica: 1 online resource (742 p.)
• Disciplina: 510 s; 512/.22
• Soggetto topico: Finite simple groups
• Persona (resp. second.): LyonsRichard <1945->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Bibliography: pages 723-731.
• Nota di contenuto: ""Table of Contents""; ""Acknowledgements""; ""General Introduction""; ""Part I: Properties of K-groups and Preliminary Lemmas""; ""Chapter 1. Introduction""; ""Â1. Notation""; ""Â2. p-layers""; ""Â3. The known simple groups""; ""Â4. Preliminaries concerning groups of Lie type""; ""Â5. Basic properties of the sporadic groups""; ""Chapter 2. Decorations of the known simple groups""; ""Â6. Schur multipliers and covering groups of the known simple groups""; ""Â7. Automorphisms of the known simple groups""; ""Chapter 3. Local subgroups of the known simple groups"" ; ""Â8. The local structure of classical groups, as seen on their natural modules""""Â9. Outer automorphisms of Chevalley groups""; ""Â10. Sylow structure, p-rank, and 2-local p-rank of the known simple groups""; ""Â11. The permutation action of large elementary abelian p-groups on p-components of K-groups""; ""Â12. p-fusion in the known simple groups""; ""Â13. Parabolic subgroups of Chevalley groups""; ""Â14. Subcomponents and pumpups of the known simple groups""; ""Â15. Action of commuting p-elements on subcomponents of known simple groups"" ; ""Â16. Splitting primes for groups in Chev (2)""""Â17. Standard subcomponents of groups in Chev (2)""; ""Chapter 4. Balance and signalizers""; ""Â18. L[sub(p)],-balance and related results""; ""Â19. Local and global balance""; ""Â20. Signalizers in the known simple groups""; ""Â21. Signalizer functors""; ""Chapter 5. Generational properties of K-groups""; ""Â22. Generation""; ""Â23. Generation of K-groups""; ""Â24. Strongly p-embedded subgroups and proper k-generated cores in K-groups""; ""Â25. Generation of pumpups of the known simple groups""; ""Â26. Existence of layers"" ; ""Â27. Balance vs. generation""""Chapter 6. Factorizations""; ""Â28. Factorizations in K-groups""; ""Chapter 7. Miscellaneous general results and lemmas about K-groups""; ""Â29. Groups with self-centralizing elementary abelian subgroups of low rank""; ""Â30. Miscellaneous special lemmas""; ""Â31. p-groups and connectedness""; ""Â32. Miscellaneous general lemmas""; ""Â33. The fundamental property of groups of characteristic 2 type""; ""Appendix""; ""Â34. Elements of order 3 in Chevalley groups of characteristic 2""; ""Part II: The Trichotomy Theorem""; ""Chapter 1. Odd standard form"" ; ""Â1. Introduction""""Â2. A preliminary lemma""; ""Â3. The p-constrained case""; ""Â4. Maximal p-components""; ""Â5. Partial standard form""; ""Â6. The characteristic of L""; ""Â7. The alternating case""; ""Â8. The sporadic case""; ""Â9. Quasisimplicity""; ""Â10. The embedding of B: field automorphisms""; ""Â11. The embedding of B: splitting and half-splitting primes""; ""Â12. Neighbors""; ""Â13. Coda""; ""Chapter 2. Signalizer functors and weak proper 2-generated p- cores""; ""Â1. Introduction""; ""Â2. Balance""; ""Â3. The p- components of 1[sub(b)]"" ; ""Â4. Signalizer functors and pre-uniqueness subgroups""
• Titolo autorizzato: The local structure of finite groups of characteristic 2 type
• ISBN: 1-4704-0686-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788898803321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 276.