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On Browkin's conjecture about the elements of order five in K_2(Q) 被引量：1

On Browkin's conjecture about the elements of order five in K_2(Q)
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摘要 Based on the work of Lenstra, a succinct proof of Browkin’s conjecture about the elements of order five in K2(Q) is given. Based on the work of Lenstra, a succinct proof of Browkin's conjecture about the elements of order five in K2(Q) is given.
作者 Ke-jian XU Department of Mathematics, Qingdao University, Qingdao 266071, China
出处 《Science China Mathematics》 SCIE 2007年第1期116-120,共5页 中国科学：数学（英文版）
基金 This work was supported by the National Natural Science Foundation of China (Grant No. 10371061).
关键词 K2 group cyclotomic POLYNOMIAL LATTICE BINARY QUARTIC form. K2 group, cyclotomic polynomial, lattice, binary quartic form.
分类号 O153.4 [理学—基础数学]
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参考文献9

  • 1Kejian Xu,Hourong Qin.A class of torsion elements in K2 of a local field[J].Science in China Series A: Mathematics.2003(1)
  • 2Kejian Xu,Hourong Qin.A conjecture on a class of elements of finite order in K2Fp[J].Science in China Series A: Mathematics.2001(4)
  • 3A. A. Suslin.Torsion in K 2 of fields[J].K - Theory.1987(1)
  • 4John Tate.Relations between K2 and Galois cohomology[J].Inventiones Mathematicae.1976(1)
  • 5Davis C S.The minimum of a binary quartic form (I)[].Acta Mathematica.1951
  • 6Qin H R.The subgroups of finite order in K2(Q)[].Algebraic K-Theory and Its Application.1999
  • 7Milnor J.Introduction to algebraic K-Theory[].Ann Math Studies.1971
  • 8Lenstra H W.A letter from Lenstra H W to Browkin J[]..1981
  • 9.

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Science China Mathematics
2007年 第1期

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