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Model theory with applications to algebra and analysis /
Account of current research in model theory and its connections with algebra and analysis; contributions from leaders in the field.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2008.
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| Colección: | London Mathematical Society lecture note series ;
350. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1.5 Generic n-Transitivity Revisited2 Bounds on rank; 2.1 Examples; 2.2 Reduction to generic multiple transitivity; 3 The definable socle; 3.1 The main case division; 3.2 The torsion-free divisible case; 3.3 Simple socles; 3.4 Elementary abelian socles; 3.5 Nonabelian socles; 4 Actions of finite groups on connected solvable groups; 4.1 Generalities; 4.2 Actions of symmetric groups; 4.3 Groups covering Sym(n); 5 Simple permutation groups; 5.1 The four types; 5.2 Even type groups; 5.3 Odd type groups; 5.4 Primitive simple groups of odd type; 5.5 Tying up the loose ends
- 6 Generic multiple transitivity6.1 An extremal case; 6.2 The affine case; 6.3 The point stabilizer; 6.4 Small affine groups; 6.5 An inductive step for Problem 13; 6.6 The Curtis-Tits Theorem; 6.7 Pseudoreflection groups; 6.8 One more problem; 7 Problem list; References; A survey of asymptotic classes and measurable structures; 1 Introduction; 2 Asymptotic classes; 3 Measurable structures; 4 Smoothly approximable structures; 5 Measure and difference fields; 6 Asymptotic classes of simple groups; 7 Groups of low dimension; 8 Further questions; References; Counting and dimensions; Summary