Galois Theory of p-Extensions (Hardcover, 2002 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Monographs in Mathematics
Release date:	August 2002
First published:	2002
Translators:	F. Lemmermeyer
Authors:	Helmut Koch
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Hardcover
Pages:	191
Edition:	2002 ed.
ISBN-13:	978-3-540-43629-4
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	3-540-43629-4
Barcode:	9783540436294

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