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The classification of the finite simple groups . Number 2 . Part I, chapter G General group theory / / Daniel Gorenstein, Richard Lyons, Ronald Solomon



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Autore: Gorenstein Daniel Visualizza persona
Titolo: The classification of the finite simple groups . Number 2 . Part I, chapter G General group theory / / Daniel Gorenstein, Richard Lyons, Ronald Solomon Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1996]
©1996
Descrizione fisica: 1 online resource (234 p.)
Disciplina: 512/.2
Soggetto topico: Finite simple groups
Persona (resp. second.): LyondRichard
SolomonRonald
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: ""Contents""; ""Preface""; ""Part I, Chapter G: General Group Theory""; ""A. Introduction""; ""1. Notation""; ""2. Some K-Group Conditions""; ""B. Semisimple Subgroups""; ""3. Components and the Generalized Fitting Subgroup""; ""5. L[sub(p')]-Balance and p*-Groups""; ""6. p-Terminally""; ""7. Semirigidity""; ""8. The Permutation Action of p-Groups on Components""; ""C. Nilpotent Groups and Their Extensions""; ""9. Modules, Representations, and Cohomology""; ""10. Small p-Groups""; ""11. Automorphisms of p-Groups and Coprime Action""; ""12. p-Constrained Groups""
""13. Solvable Components and Solvable L-Balance""""14. Goldschmidt-O'Nan Modules""; ""D. Fusion and Normal Subgroups""; ""15. Abelian Normal Subgroups and Quotients""; ""16. Local Control of Fusion""; ""E. Uniqueness Subgroups""; ""17. Strongly p-Embedded Subgroups and Involutions""; ""18. Preuniqueness Subgroups and Standard Components""; ""F. The Analysis of Signalizers""; ""19. The Bender Method""; ""20. The Signalizer Functor Method: k-Balance""; ""21. The Signalizer Functor Method: Signalizer Functors""; ""22. The Signalizer Functor Method: Connectivity""
""23. Signalizers, p-Constraint and Transitivity Theorems""""G. Subgroups of Parabolic Type""; ""24. The Klinger-Mason Method""; ""25. p-Stability and Quadratic Modules""; ""26. Thompson Factorization""; ""27. Near Components""; ""28. The Amalgam Method""; ""H. Some Recognition Issues""; ""29. Defining Amalgams""; ""30. Split BN-Pairs""; ""31. Extensions of Extra-special 2-Groups""; ""I. Characters and Counting""; ""32. Ordinary Character Theory""; ""33. Modular Character Theory""; ""34. Involutions and Counting Arguments""; ""Background References""; ""Expository References""; ""Glossary""
""Index""""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Y""; ""Z""
Altri titoli varianti: Classification of the finite simple groups.
Titolo autorizzato: Classification of the finite simple groups  Visualizza cluster
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996320723003316
Lo trovi qui: Univ. di Salerno
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Serie: Mathematical surveys and monographs ; ; volume 40, number 2.