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Mathematics Cohomology of Number Fields (Grundlehren der mathematischen Wissenschaften)

Posted on 2010-04-13




Name:Mathematics Cohomology of Number Fields (Grundlehren der mathematischen Wissenschaften)
ASIN/ISBN:3540666710
Author:Alexander Schmidt, J¨¹rgen Neukirch, Kay Wingberg
Publisher:Springer (2000)
Language:English
Pages:Hardcover, 699 pages
File size:3.23 Mb
   Mathematics Cohomology of Number Fields (Grundlehren der mathematischen Wissenschaften)

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Author: Alexander Schmidt, J¨¹rgen Neukirch, Kay Wingberg


Publisher: Springer (2000)


Binding: Hardcover, 699 pages


pricer: $155.00


ISBN-10: 3540666710


editorialreviews

Galois modules over local and global fields form the main subject of this monograph, which can serve both as a textbook for students, and as a reference book for the working mathematician, on cohomological topics in number theory. The first part provides the necessary algebraic background. The arithmetic part deals with Galois groups of local and global fields: local Tate duality, the structure of the absolute Galois group of a local field, extensions of global fields with restricted ramification, cohomology of the idle and the idle class groups, Poitou-Tate duality for finitely generated Galois modules, the Hasse principle, the theorem of Grundwald-Wang, Leopoldt's conjecture, Riemann's existence theorem for number fields, embedding problems, the theorems of Iwasawa and of Safarevic on solvable groups as Galois groups over global fields, Iwasawa theory of local and global number fields, and the characterization of number fields by their absolute Galois groups.




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