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Hardcover - 9783540436294
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Beschreibung
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.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 04. Dezember 2010 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 324 Gramm |
| Format | Softcover |
| ISBN-13 | 9783642078170 |
| Seiten | 191 |
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