✦ LIBER ✦

Brauer groups of fields of genus zero

✍ Scribed by B Fein; M Schacher; J Sonn

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 274 KB
Volume: 114
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(88)90306-7

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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