LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512.66
Title	Galois Theory of p-Extensions ([EBook]) / by Helmut Koch.
Author	Koch, Helmut, , 1932-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2002.
Physical Details	XIII, 191 pages : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9783662049679
Summary Note	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.:
Contents note	1. Profinite Groups -- 2. Galois Theory of Infinite Algebraic Extensions -- 3. Cohomology of Profinite Groups -- 4. Free pro-p Groups -- 5. Cohomological Dimension -- 6. Presentation of pro-p Groups -- 7. Group Algebras of pro-p Groups -- 8. Results from Algebraic Number Theory -- 9. The Maximal p-Extension -- 10. Local Fields of Finite Type -- 11. Global Fields of Finite Type -- 12. On p-Class Groups and p-Class Field Towers -- 13. The Cohomological Dimension of GS -- References -- Notation -- Postscript -- Additional References -- Author Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-04967-9
Links to Related Works	Subject References: Algebraic fields . Galois theory . Group theory . Group Theory and Generalizations . K-Theory . Authors: Koch, Helmut, 1932- . Koch, Helmut, 1932- . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 512.66 .

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Galois Theory of p-Extensions

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