Groups as Galois groups an introduction
This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algeb...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
1996
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| Series: | Cambridge studies in advanced mathematics
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| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- 1. Hilbert's Irreducibility Theorem
- 2. Finite Galois Extensions of C(x)
- 3. Descent of Base Field and the Rigidity Criterion
- 4. Covering Spaces and the Fundamental Group
- 5. Riemann Surfaces and Their Function Fields
- 6. The Analytic Version of Riemann's Existence Theorem
- 7. The Descent from C to [actual symbol not reproducible]
- 8. Embedding Problems
- 9. Braiding Action and Weak Rigidity
- 10. Moduli Spaces for Covers of the Riemann Sphere
- 11. Patching over Complete Valued Fields