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实二次域Tame核的阶的3-整除性

ON THE 3-DIVISIBILITY OF THE ORDER OF THE TAME KERNELS FOR REAL QUADRATIC FIELDS
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摘要 本文证明了对某类实二次域,其类数能被3整除当且仅当其Tame核的阶能被3整除,同时给出 了Browkin关于Tame核的3整除性的结果的一个不同证明. This paper proves that for certain real quadratic fields F the order of the tame kernels of F is divisible by 3 is equivalent to the class number of F is divisible by 3. The authors also give another proof of a result on 3-divisibility by J. Browkin.
出处 《数学年刊(A辑)》 CSCD 北大核心 2005年第6期813-816,共4页 Chinese Annals of Mathematics
基金 高等学校博士学科点专项科研基金(No.20040284018)资助的项目
关键词 tame核 类数 实二次域 可除性 Tame kernel, Class number, Real quadratic fields, Divisibility.
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