Publication
Cohomological Invariants for G-Galois Algebras and Self-Dual Normal Bases
Abstract
Cohomological Invariants for G-Galois Algebras and Self-Dual Normal Bases. We define degree two cohomological invariants for -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 ) we show that these conditions are also sufficient.
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