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Ulm invariants of the Brauer group of a field

✍ Scribed by Burton Fein; Murray Schacher

Publisher: Springer-Verlag
Year: 1977
Tongue: French
Weight: 614 KB
Volume: 154
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01215111

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The set of division algebras central and finite dimensional over a field F Ž . are nicely parameterized by the Brauer group Br F , which is naturally 2 Ž ⅷ . isomorphic to the Galois cohomology group H G , F . Since the latter F sep is an arithmetic invariant, the theory of F's division algebras and