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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Galois Theory of P-Extensions

Galois Theory of P-Extensions

Lemmermeyer, F.
Koch, Helmut

Paperback

Series: Springer Monographs in Mathematics

AlgebraGeneral Mathematics

ISBN10: 3642078176
ISBN13: 9783642078170
Publisher: Springer
Published: Dec 4 2010
Pages: 191
Weight: 0.66
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
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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