The narrow class groups of the ℤ17- and ℤ19-extensions over the rational field

被引：0
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作者：
Kuniaki Horie
Mitsuko Horie
机构：
[1] Tokai University,Department of Mathematics
[2] Ochanomizu University,Department of Mathematics
来源：
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | 2010年 / 80卷
关键词：
ℤ; -extension; Narrow class group; Iwasawa theory; 11R29; 11R20; 11R23;
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学科分类号：
摘要：
Let p be either 17 or 19, let ℤp denote the ring of p-adic integers, and let l be a prime number which is a primitive root modulo p2. We shall prove, with the help of a computer, that the l-class group of the ℤp-extension over the rational field is trivial. We shall also prove the triviality of the narrow 2-class group of the same ℤp-extension.
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页码：47 / 57
页数：10
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