Galois Theory of p-Extensions
First published in German in 1970 and translated into Russian in 1973, this classic now becomes available in English. After introducing the theory of pro-p groups and their cohomology, it discusses presentations of the Galois groups G S of maximal p-extensions of number fields that are unramified ou...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2002, 2002
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| Edition: | 1st ed. 2002 |
| Series: | Springer Monographs in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Profinite Groups
- 2. Galois Theory of Infinite Algebraic Extensions
- 3. Cohomology of Profinite Groups
- 4. Free pro-p Groups
- 5. Cohomological Dimension
- 6. Presentation of pro-p Groups
- 7. Group Algebras of pro-p Groups
- 8. Results from Algebraic Number Theory
- 9. The Maximal p-Extension
- 10. Local Fields of Finite Type
- 11. Global Fields of Finite Type
- 12. On p-Class Groups and p-Class Field Towers
- 13. The Cohomological Dimension of GS
- References
- Notation
- Postscript
- Additional References
- Author Index