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Galois Theory of P-Extensions
Helmut Koch
€ 139.70
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Description for Galois Theory of P-Extensions
Paperback. Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references. Translator(s): Lemmermeyer, Franz. Series: Springer Monographs in Mathematics. Num Pages: 204 pages, biography. BIC Classification: PBF; PBG. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 11. Weight in Grams: 326.
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
Paperback
Publication date
2010
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
204
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
191
Place of Publication
Berlin, Germany
ISBN
9783642078170
SKU
V9783642078170
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