The multiplicative structure of division rings over number fields and the Hasse norm principle (Q1066952)

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scientific article; zbMATH DE number 3927043
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English
The multiplicative structure of division rings over number fields and the Hasse norm principle
scientific article; zbMATH DE number 3927043

    Statements

    The multiplicative structure of division rings over number fields and the Hasse norm principle (English)
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    1985
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    Translation from Tr. Mat. Inst. Steklova 165, 171-187 (Russian) (1984; Zbl 0559.12010).
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    multiplicative structure
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    skew fields over number fields
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    Hasse
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    norm principle
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    algebraic group
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    group of rational points
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    quadratic forms
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    Skolem-Noether theorem
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    algebra of quaternions
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    class field theory
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    direct subgroup
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    Spin(f)
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    SL(1,D)
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    trace
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