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Galois Theory of P-extensions
Helmut Koch
€ 143.78
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Description for Galois Theory of P-extensions
Hardback. After introducing the theory of pro-p groups and their cohomology, this text 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, relations and the cohomological dimension of some G S. Translator(s): Lemmermeyer, Franz. Series: Springer Monographs in Mathematics. Num Pages: 191 pages, biography. BIC Classification: PBF; PBG. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 12. Weight in Grams: 1050.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2002
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
191
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
191
Place of Publication
Berlin, Germany
ISBN
9783540436294
SKU
V9783540436294
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Galois Theory of P-extensions
From the reviews: Most algebraic number theorists have had occasion to refer to Helmut Koch's Galloissche Theorie der p-Erweiterungen, first published some thirty years ago and still an essential reference on the subject of p-extensions (that is, Galois extensions whose Galois groups are p-groups) of algebraic number fields. But readers like myself have found ourselves ... Read more