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Galois theory of p-extensions

Author: Helmut Koch
Publisher: Berlin ; New York : Springer, ©2002.
Series: Springer monographs in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Helmut Koch
ISBN: 3540436294 9783540436294 3642078176 9783642078170
OCLC Number: 49859878
Description: xiii, 190 pages ; 24 cm.
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 G[subscript S].
Series Title: Springer monographs in mathematics.
Other Titles: Galloissche Theorie der p-Erweiterungen.
Responsibility: Helmut Koch.
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From the reviews:Most algebraic number theorists have had occasion to refer to Helmut Koch's Galloissche Theorie der p-Erweiterungen, first published some thirty years ago and still an essential Read more...

 
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