Semi-local units modulo Gauss sums

被引：0
作者：
Yoshitaka Hachimori
Humio Ichimura
机构：
[1] University of Tokyo,Graduate School of Mathematical Sciences
[2] Yokhama City University,Department of Mathematics
来源：
manuscripta mathematica | 1998年 / 95卷 / 1期
关键词：
Prime Ideal; Irreducible Component; Local Unit; Algebraic Number Field; Ideal Class Group;
D O I：
10.1007/BF02678038
中图分类号：
学科分类号：
摘要：
For thep-th cyclotomic fieldk, Iwasawa proved thatp does not divide the class number of its maximal real subfield if and only if the odd part of the group of local units coincides with its subgroup generated by Jacobi sums related tok. We refine and give a quantitative version of this result for more general imaginary abelian fields. Our result is an analogy of the famous result on “semi-local units modulo cyclotomic units”.
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页码：377 / 395
页数：18
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