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5. On the torsion in K₂ of a field

On the torsion in K₂ of a field

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：haideliliang

【摘 要】

：

For a field F,let Gn(F) = {{a,Φn(a)} ∈ K2(F) | a,Φn(a) ∈ F*},where Φn(x) is the n-th cyclotomic polynomial.At first,by using Faltings’ theorem on Mordell

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2008年7期

【关键词】

：

number FIELD function FIELD TORSION Milnor K2-group Mordell CONJECTURE 

【基金项目】

：

supported by the National Natural Science Foundation of China (Grant No.10371061)

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For a field F,let Gn(F) = {{a,Φn(a)} ∈ K2(F) | a,Φn(a) ∈ F*},where Φn(x) is the n-th cyclotomic polynomial.At first,by using Faltings’ theorem on Mordell conjecture it is proved that if F is a number field and if n = 4,8,12 is a positive integer having a

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