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A cohomological study of the 2-primary part of \(K_2{\mathcal O})\) - MaRDI portal

A cohomological study of the 2-primary part of \(K_2{\mathcal O})\) (Q923624)

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scientific article; zbMATH DE number 4171056
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English
A cohomological study of the 2-primary part of \(K_2{\mathcal O})\)
scientific article; zbMATH DE number 4171056

    Statements

    A cohomological study of the 2-primary part of \(K_2{\mathcal O})\) (English)
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    1990
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    The author gives a cohomological description of the 2-primary part of the tame kernel of a totally real algebraic number field. As an application he obtains a different proof of the reviewer's result [Can. Math. Bull. 32, 248--251 (1989; Zbl 0675.12004)] that the 2-primary part of the Main Conjecture in Iwasawa theory implies the 2-primary part of the Birch-Tate-Conjecture.
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    tame kernel
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    Main Conjecture in Iwasawa theory
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    Birch-Tate-Conjecture
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