Symmetric and alternating groups as monodromy groups of Riemann surfaces I : generic covers and covers with many branch points /
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
2007
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| Series: | Memoirs of the American Mathematical Society ;
no. 886. |
| Subjects: | |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- 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.
