Journal article

Cohomological Invariants For G-Galois Algebras And Self-Dual Normal Bases

We define degree two cohomological invariants for G-Galois algebras over fields of characteristic not 2, and use them to give necessary conditions for the existence of a self-dual normal basis. In some cases (for instance, when the field has cohomological dimension <= 2) we show that these conditions are also sufficient.


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