| 书目名称 | Galois Theory of p-Extensions |
| 编辑 | Helmut Koch |
| 视频video | |
| 概述 | Helmut Koch‘s classic now becomes available in English.Competently translated by Franz Lemmermeyer.Introduces the theory of pro-p groups and their cohomology.Contains a postscript on the recent develo |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2002 |
| 关键词 | Cohomology; Prime; algebra; chomology of groups; class field towers; number theory; pro-p groups |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-04967-9 |
| isbn_softcover | 978-3-642-07817-0 |
| isbn_ebook | 978-3-662-04967-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 18:06:22
