数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 19-26.doi: 10.1016/S0252-9602(10)60018-5

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CYCLOTOMIC ELEMENTS IN K2F, REVISITED

 Jerzy Browkin   

  1. Institute of Mathematics, Polish Academy of Sciences, ul. Sniadeckich 8, PL-00-956 Warsaw, Poland
  • 收稿日期:2007-06-21 出版日期:2010-01-20 发布日期:2010-01-20

CYCLOTOMIC ELEMENTS IN K2F, REVISITED

 Jerzy Browkin   

  1. Institute of Mathematics, Polish Academy of Sciences, ul. Sniadeckich 8, PL-00-956 Warsaw, Poland
  • Received:2007-06-21 Online:2010-01-20 Published:2010-01-20

摘要:

Basing on results of Xu and Qin [10], and Guo [12] on cyclotomic elements in K2F for local fields F, we prove that every element in K2Q
is a finite or infinite product of cyclotomic elements. Next, we extend this result to finite extensions of Q satisfying some additional conditions.

关键词: Milnor group, cyclotomic elements

Abstract:

Basing on results of Xu and Qin [10], and Guo [12] on cyclotomic elements in K2F for local fields F, we prove that every element in K2Q
is a finite or infinite product of cyclotomic elements. Next, we extend this result to finite extensions of Q satisfying some additional
conditions.

Key words: Milnor group, cyclotomic elements

中图分类号: 

  • 11R70