Cohomology and the normal basis theorem

DOI10.1016/S0019-3577(07)80007-3zbMath1178.12001MaRDI QIDQ2381836

Patrik Lundström

Publication date: 19 September 2007

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

normal basis theoreminfinite Galois extensionnew proof of Lenstra's theorem

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (12G05)

Cites Work

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• Galoissche Theorie und Darstellungstheorie
• Primitive normal bases for towers of field extensions
• Cohomology and self-dual normal bases for infinite Galois field extensions
• Self-dual normal integral bases for infinite unramified extensions.
• Normal integral bases for infinite abelian extensions
• Self-dual normal bases for infinite galois field extensions
• Normal bases for infinite Galois ring extensions
• Universal normal bases for the abelian closure of the field of rational numbers

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