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...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2002.
|
| Series: | Springer monographs in mathematics.
|
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
|---|---|
| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xiii, 191 pages) |
| ISBN: | 9783662049679 (electronic bk.) 3662049678 (electronic bk.) |
| ISSN: | 1439-7382 |