The Division Algebras and Brauer Group o
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E.S. Brussel
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Article
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2001
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Elsevier Science
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English
β 158 KB
The set of division algebras central and finite dimensional over a field F Ε½ . are nicely parameterized by the Brauer group Br F , which is naturally 2 Ε½ β · . 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