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Galois Theory of P-Extensions
Helmut Koch
128,45 €
+ 256 points
Description
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 outside a given set S of primes. It computes generators and relations as well as the cohomological dimension of some G S, and gives applications to infinite class field towers.The book demonstrates that the cohomology of groups is very useful for studying Galois theory of number fields; at the same time, it offers a down to earth introduction to the cohomological method. In a "Postscript" Helmut Koch and Franz Lemmermeyer give a survey on the development of the field in the last 30 years. Also, a list of additional, recent references has been included.
Spécifications
Parties prenantes
- Auteur(s) :
- Traducteur(s):
- Editeur:
Contenu
- Nombre de pages :
- 191
- Langue:
- Anglais, Chinois
- Collection :
Caractéristiques
- EAN:
- 9783540436294
- Date de parution :
- 06-08-02
- Format:
- Livre relié
- Format numérique:
- Genaaid
- Dimensions :
- 156 mm x 234 mm
- Poids :
- 476 g
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