Item description for Galois Theory of p-Extensions by F. Lemmermeyer Helmut Koch...
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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Est. Packaging Dimensions: Length: 9.4" Width: 6.1" Height: 0.6" Weight: 0.9 lbs.
Release Date Oct 3, 2002
ISBN 3540436294 ISBN13 9783540436294
Availability 65 units. Availability accurate as of Jan 22, 2017 09:25.
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