Unramified extensions of quadratic number fields, II

Unramified extensions of quadratic number fields, II
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二次数域的无分支扩张,II

DOI:
10.2748/tmj/1178242816
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发表时间:
1970
影响因子:
0.5
通讯作者:
Kôji Uchida
Kôji Uchida
中科院分区:
数学4区
文献类型:
--
作者:
Kôji Uchida

文献摘要

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本文研究了Xn-aX + B = 0型方程,得到了二次数域非分歧扩张的一些结果[3]。在本文中,我们得到了几乎包括[3]中所有结果的进一步结果.我们在下面不参考[3],虽然证明的技术几乎等于[3]。这里证明的定理如下。0注意,“unramified”在本文中意味着每个有限素数都是unramified的。
We have studied equations of type X n — aX + b = 0, and have obtained some results on unramified extensions of quadratic number fields [3]. In this paper we have further results which include almost all of [3]. We do not refer to [3] in the following, though the techniques of proofs are almost equal to those of [3]. Theorems proved here are the following. 0 Notice that "unramified" means in this paper that every finite prime is unramified.