Vipul: Created page with "==Statement== ===In terms of group cohomology=== Suppose $L/K$ is a (not necessarily finite) fact about::Galois extension with [[Galois grou..."

2012-01-07T20:38:41Z

Created page with "==Statement== ===In terms of group cohomology=== Suppose <math>L/K</math> is a (not necessarily finite) fact about::Galois extension with [[Galois grou..."

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==Statement==

===In terms of group cohomology===

Suppose <math>L/K</math> is a (not necessarily [[finite extension|finite]]) [[fact about::Galois extension]] with [[Galois group]] <math>G</math>. <math>G</math> has a natural action on the [[multiplicative group of a field|multiplicative group]] <math>L^\times</math>. The theorem states that the [[first cohomology group]] for this group action is the [[trivial group]].

===Explicit statement for cyclic extensions===

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Hilbert's Theorem 90 - Revision history

Vipul: Created page with "==Statement== ===In terms of group cohomology=== Suppose L/K is a (not necessarily finite) fact about::Galois extension with [[Galois grou..."

Vipul: Created page with "==Statement== ===In terms of group cohomology=== Suppose $L/K$ is a (not necessarily finite) fact about::Galois extension with [[Galois grou..."