The class groups of the imaginary Abelian number fields with Galois group (ℤ/2ℤ)n

The class groups of the imaginary Abelian number fields with Galois group (ℤ/2ℤ)n
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具有伽罗瓦群 (ℤ/2ℤ)n 的虚阿贝尔数域的类群

DOI:
10.1017/s0004972700034481
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发表时间:
2004
影响因子:
0.7
通讯作者:
Soun
Soun
中科院分区:
数学4区
文献类型:
--
作者:
J. Ahn;Soun

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在广义Riemann假设下,我们确定了所有的虚Abel数域N,其Galois群G(N/N)同构于(N/2 <$)n,其中n ≥ 1,且N的每个理想的平方是主的.
Assuming the Generalised Riemann Hypothesis we determine all imaginary Abelian number fields N whose Galois group G(N/ℚ) is isomorphic to (ℤ/2ℤ)n for some integers n ≥ 1 and the square of every ideal of N is principal.