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Elements of Small Orders in K_2FⅡ 被引量:3

Elements of Small Orders in K_2FⅡ
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摘要 In "Elements of small orders in K2(F)" (Algebraic K-Theory, Lecture Notes in Math., 966, 1982, 1-6.), the author investigates elements of the form {α, Фn(α)} in the Milnor group K2F of a field F, where Фn(x) is the n-th cyclotomic polynomial. In this paper, these elements are generalized. Applying the explicit formulas of Rosset and Tate for the transfer homomorphism for K2, the author proves some new results on elements of small orders in K2F.
作者 Jerzy BROWKIN
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2007年第5期507-520,共14页 数学年刊(B辑英文版)
关键词 Cyclotomic elements in K2F Transfer in K-theory Milnor group 分圆原理 K-理论 定货量 数学
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参考文献8

  • 1Browkin, J., Elements of small orders in K2(F), Algebraic K-Theory, Lecture Notes in Math., 966, 1982, 1-6.
  • 2Urbanowicz, J., On elements of given order in K2F, J. Pure Appl. Algebra, 50, 1988, 295-307.
  • 3Rosset, S. and Tate, J., A reciprocity law for K2-traces, Comment. Math. Helvetici, 58, 1983, 38-47.
  • 4Milnor, J., Introduction to Algebraic K-Theory, Ann. of Math. Studies, 72, Princeton Univ. Press, Princeton, 1971.
  • 5Bass, H., K2 des corps globaux, Semin. Bourbaki 1970/71, Exp. 382-399
  • 6Lecture Notes in Math, 244, 1971, 233-255.
  • 7Suslin, A. A., Torsion in K2 of fields, K-Theory, 1, 1987, 5-29.
  • 8Delone, B. N. and Faddeev, D. K., The theory of irrationalities of the third degree (in Russian), Trudy Mat. Inst. Steklov, 11, 1940, 1-340; English translation, Providence, 1964.

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