Local Fields pp 150-163 | Cite as

Galois Cohomology

  • Jean-Pierre Serre
Part of the Graduate Texts in Mathematics book series (GTM, volume 67)


Let K/k be a finite Galois extension with Galois group G. The group G acts both on the additive group of K and on the multiplicative group K*; hence we can investigate the corresponding cohomology groups.


Exact Sequence Cohomology Group Galois Group Division Algebra Matrix Algebra 
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Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • Jean-Pierre Serre
    • 1
  1. 1.Collège de FranceParisFrance

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