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Cohomology of number field

By: Contributor(s): Material type: TextTextLanguage: English Series: A Series of Comprehensive Studies in Mathematics ; 323Publication details: Berlin Springer 2000Description: xv, 699pISBN:
  • 3540666710 (HB)
Subject(s):
Contents:
Algebraic Theory Ch. I. Cohomology of Profinite Groups Ch. II. Some Homological Algebra Ch. III. Duality Properties of Profinite Groups Ch. IV. Free Products of Profinite Groups Ch. V. Iwasawa Modules Arithmetic Theory Ch. VI. Galois Cohomology Ch. VII. Cohomology of Local Fields Ch. VIII. Cohomology of Global Fields Ch. IX. The Absolute Galois Group of a Global Field Ch. X. Restricted Ramification Ch. XI. Iwasawa Theory of Number Fields Ch. XII. Anabelian Geometry
Summary: Focuses on Galois modules over local and global fields. This book covers the following topics: local Tate duality, the structure of the absolute Galois group of a local field, extensions of global fields with restricted ramification, cohomology of the idele and the idele class groups, and more.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 515.142 NEU (Browse shelf(Opens below)) Checked out 03/02/2026 41687

Includes index

Includes bibliography (p. 681-693) and references

Algebraic Theory
Ch. I. Cohomology of Profinite Groups
Ch. II. Some Homological Algebra
Ch. III. Duality Properties of Profinite Groups
Ch. IV. Free Products of Profinite Groups
Ch. V. Iwasawa Modules
Arithmetic Theory
Ch. VI. Galois Cohomology
Ch. VII. Cohomology of Local Fields
Ch. VIII. Cohomology of Global Fields
Ch. IX. The Absolute Galois Group of a Global Field
Ch. X. Restricted Ramification
Ch. XI. Iwasawa Theory of Number Fields
Ch. XII. Anabelian Geometry

Focuses on Galois modules over local and global fields. This book covers the following topics: local Tate duality, the structure of the absolute Galois group of a local field, extensions of global fields with restricted ramification, cohomology of the idele and the idele class groups, and more.

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The Institute of Mathematical Sciences, Chennai, India