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A conjecture on a class of elements of finite order in K_2F_■ 被引量:3

A conjecture on a class of elements of finite order in K_2F_■
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摘要 For a local field F the finite subgroups of K2F are expressed by a class of special elements of finite order, which makes a famous theorem built by Moore, Carroll, Tate and Merkurjev more explicit and also disproves a conjecture posed by Browkin. For a local field F the finite subgroups of K2 F are expressed by a class of special elements of finite order, which makes a famous theorem built by Moore, Carroll, Tate and Merkurjev more explicit and also disproves a conjecture posed by Browkin.
出处 《Science China Mathematics》 SCIE 2001年第4期484-490,共7页 中国科学:数学(英文版)
基金 This work wassupported by the National Natural Science Foundation of China (Grant No. 19531020) the National Distinguished Youth Science Foundation of China.
关键词 K2 group local field tame symbol Hilbert symbol K2 组;本地地;平淡的标志;Hilbert 标志;
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参考文献3

  • 1A. A. Suslin.Torsion in K 2 of fields[J].K - Theory.1987(1)
  • 2John Tate.Relations between K2 and Galois cohomology[J].Inventiones Mathematicae.1976(1)
  • 3Calvin C. Moore.Group extensions ofp-adic and adelic linear groups[J].Publications Mathématiques de L’Institut des Hautes Scientifiques.1968(1)

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