Algebraic Patching
Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields&...
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| Format: | Electronic eBook |
| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg,
2011.
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| Series: | Springer Monographs in Mathematics,
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- 1. Algebraic Patching
- 2. Normed Rings
- 3. Several Variables
- 4. Constant Split Embedding Problems over Complete Fields
- 5. Ample Fields
- 6. Non-Ample Fields
- 7. Split Embedding Problems over Complete Fields
- 8. Split Embedding Problems over Ample Fields
- 9. The Absolute Galois Group of C(t)
- 10. Semi-Free Profinite Groups
- 11. Function Fields of One Variable over PAC Fields
- 12. Complete Noetherian Domains
- Open Problems
- References
- Glossary of Notation
- Index.
