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UNINA9910146558703321 |
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Autore |
Gorenstein Daniel |
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Titolo |
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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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1996] |
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©1996 |
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Descrizione fisica |
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1 online resource (234 p.) |
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Collana |
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Mathematical surveys and monographs ; ; volume 40, number 2 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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 |
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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"" |
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