Galois Theory of p-Extensions

di Helmut Koch (Autore)

F. Lemmermeyer (Traduttore)

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2002

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.

• Autore: Helmut Koch
• Traduttore: F. Lemmermeyer
• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Collana: Springer Monographs in Mathematics
• Anno: 2002
• Rilegatura: Hardback
• Pagine: 191 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783540436294

Testo in English