Galois Theory of p-Extensions

By:

Helmut Koch

Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

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.

Release date Australia

August 6th, 2002

Author

Helmut Koch

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Contributor

Translated by F. Lemmermeyer

Illustrations

XIII, 191 p.

Pages

191

Series

Springer Monographs in Mathematics

Dimensions

156x234x12

ISBN-13

9783540436294

Product ID

2494946

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