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Determination of $ k_{n}\,(n\geq 3)$ for global fields

Authors: Richard Elman and T.-Y. Lam
Journal: Proc. Amer. Math. Soc. 31 (1972), 427-428
MSC: Primary 18.20; Secondary 10.00
MathSciNet review: 0289604
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Abstract: A short proof is obtained for Tate's theorem about $ {k_n}$ of global fields.

References [Enhancements On Off] (What's this?)

  • [1] John Milnor, Algebraic 𝐾-theory and quadratic forms, Invent. Math. 9 (1969/1970), 318–344. MR 0260844,
  • [2] O. T. O'Meara, Introduction to quadratic forms, Die Grundlehren der math. Wissenschaften, Band 117, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 27 #2485.

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Keywords: Algebraic $ K$-theory, global fields, real completions, quadratic forms
Article copyright: © Copyright 1972 American Mathematical Society

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