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.
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语言 英语 ● 格式 PDF ● ISBN 9783662049679 ● 翻译者 F. Lemmermeyer ● 出版者 Springer Berlin Heidelberg ● 发布时间 2013 ● 下载 3 时 ● 货币 EUR ● ID 6391372 ● 复制保护 Adobe DRM
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