Symmetric and alternating groups as monodromy groups of Riemann surfaces I : generic covers and covers with many branch points / / Robert M. Guralnick, John Shareshian ; with an appendix by R. Guralnick and J. Stafford
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| Autore: |
Guralnick Robert M. <1950->
|
| Titolo: |
Symmetric and alternating groups as monodromy groups of Riemann surfaces I : generic covers and covers with many branch points / / Robert M. Guralnick, John Shareshian ; with an appendix by R. Guralnick and J. Stafford
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| ©2007 | |
| Descrizione fisica: | 1 online resource (142 p.) |
| Disciplina: | 512.21 |
| Soggetto topico: | Permutation groups |
| Curves | |
| Monodromy groups | |
| Riemann surfaces | |
| Symmetry groups | |
| Persona (resp. second.): | ShareshianJohn |
| StaffordJ | |
| Note generali: | "Volume 189, Number 886 (third of 4 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction and statement of main results""; ""1.1. Five or more branch points""; ""1.2. An n-cycle""; ""1.3. Asymptotic behavior of the genus for actions on k-sets""; ""1.4. Galois groups of trinomials""; ""Chapter 2. Notation and basic lemmas""; ""Chapter 3. Examples""; ""Chapter 4. Proving the main results on five or more branch points - Theorems 1.1.1 and 1.1.2""; ""Chapter 5. Actions on 2-sets - the proof of Theorem 4.0.30""; ""Chapter 6. Actions on 3-sets - the proof of Theorem 4.0.31""; ""Chapter 7. Nine or more branch points - the proof of Theorem 4.0.34"" |
| ""Chapter 8. Actions on cosets of some 2-homogeneous and 3-homogeneous groups""""Chapter 9. Actions on 3-sets compared to actions on larger sets""; ""Chapter 10. A transposition and an n-cycle""; ""Chapter 11. Asymptotic behavior of g[sub(k)] (E)""; ""Chapter 12. An n-cycle - the proof of Theorem 1.2.1""; ""Chapter 13. Galois groups of trinomials - the proofs of Propositions 1.4.1 and 1.4.2 and Theorem 1.4.3""; ""Appendix A. Finding small genus examples by computer search""; ""A.1. Description""; ""A.2. n = 5 and n = 6""; ""A.3. 5 â?? r â?? 8, 7 â?? n â?? 20""; ""A.4. r < 5"" | |
| ""Bibliography"" | |
| Titolo autorizzato: | Symmetric and alternating groups as monodromy groups of Riemann surfaces I |
| ISBN: | 1-4704-0490-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788744903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 189, Number 886.