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arxiv: 1608.04483 · v1 · pith:H5P6NFHHnew · submitted 2016-08-16 · 🧮 math.NT

Cohomological invariants for G-Galois algebras and self-dual normal bases

classification 🧮 math.NT
keywords algebrascohomologicalconditionsg-galoisinvariantsnormalbasesbasis
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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, we show that these conditions are also sufficient.

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