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Galois cohomology

By: Material type: TextTextLanguage: English Series: Springer Monographs in MathematicsPublication details: Berlin Springer 1997Description: x, 210p. illISBN:
  • 3540619909 (HB)
Subject(s):
Contents:
I. Cohomology of profinite groups 1. Profinite groups 2. Cohomology 3. Cohomological dimension 4. Cohomology of pro-p-groups 5. Nonabelian cohomology II. Galois cohomology, the commutative case 1. Generalities 2. Criteria for cohomological dimension 3. Fields of dimension?1 4. Transition theorems 5. p-adic fields 6. Algebraic number fields III. Nonabelian Galois cohomology 1. Forms 2. Fields of dimension? 1 3. Fields of dimension? 2 4. Finiteness theorems.
Summary: This is an updated English translation of "Cohomologie Galoisienne", published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.22 SER (Browse shelf(Opens below)) Available 37361

Includes index

Includes bibliography (p. 199-207) and references

I. Cohomology of profinite groups 1. Profinite groups 2. Cohomology 3. Cohomological dimension 4. Cohomology of pro-p-groups 5. Nonabelian cohomology II. Galois cohomology, the commutative case 1. Generalities 2. Criteria for cohomological dimension 3. Fields of dimension?1 4. Transition theorems 5. p-adic fields 6. Algebraic number fields III. Nonabelian Galois cohomology 1. Forms 2. Fields of dimension? 1 3. Fields of dimension? 2 4. Finiteness theorems.

This is an updated English translation of "Cohomologie Galoisienne", published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography.

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The Institute of Mathematical Sciences, Chennai, India