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portada galois theory of p-extensions
Type
Physical Book
Author
Translated by
Publisher
Year
2010
Language
English
Pages
191
Format
Paperback
Dimensions
23.4 x 15.6 x 1.1 cm
Weight
0.30 kg.
ISBN
3642078176
ISBN13
9783642078170
Categories

galois theory of p-extensions

Helmut Koch (Author) · F. Lemmermeyer (Translated by) · Springer · Paperback

galois theory of p-extensions - Lemmermeyer, F. ; Koch, Helmut

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Synopsis "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 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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