Symmetric and alternating groups as monodromy groups of Riemann surfaces I : generic covers and covers with many branch points /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Guralnick, Robert M., 1950-
Otros Autores: Shareshian, John
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2007.
Colección:Memoirs of the American Mathematical Society ; no. 886.
Temas:
Permutation groups.
Curves.
Monodromy groups.
Riemann surfaces.
Symmetry groups.
Groupes de permutations.
Courbes.
Groupes de monodromie.
Surfaces de Riemann.
Groupes symétriques.
MATHEMATICS > Algebra > Intermediate.
Curves
Monodromy groups
Permutation groups
Riemann surfaces
Symmetry groups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction and statement of main results 2. Notation and basic lemmas 3. Examples 4. Proving the main results on five or more branch points
  • Theorems 1.1.1 and 1.1.2 5. Actions on 2-sets
  • the proof of Theorem 4.0.30 6. Actions on 3-sets
  • the proof of Theorem 4.0.31 7. Nine or more branch points
  • the proof of Theorem 4.0.34 8. Actions on cosets of some 2-homogeneous and 3-homogeneous groups 9. Actions on 3-sets compared to actions on larger sets 10. A transposition and an $n$-cycle 11. Asymptotic behavior of $g_k(E)$ 12. An $n$-cycle
  • the proof of Theorem 1.2.1 13. Galois groups of trinomials
  • the proofs of Propositions 1.4.1 and 1.4.2 and Theorem 1.4.3.

Ejemplares similares