On the cyclotomic unit group and the ideal class group of a real abelian number field

Manabu Ozaki

doi:10.1006/jnth.1997.2086

On the cyclotomic unit group and the ideal class group of a real abelian number field

Manabu Ozaki^*

^*この研究の対応する著者

基幹理工学部

研究成果: Article › 査読

8 被引用数 (Scopus)

抄録

LetKbe a real abelian number field satisfying certain conditions andK_nthenth layer of the cyclotomic Z_p-extension ofK. We study the relations between thep-Sylow subgroup of the ideal class group and that of the unit group modulo the cyclotomic unit group ofK_n. Supposing that Greenberg's conjecture is valid, we shall show that these two groups are isomorphic as Galois modules for sufficiently largen.

本文言語	English
ページ（範囲）	211-222
ページ数	12
ジャーナル	Journal of Number Theory
巻	64
号	2
DOI	https://doi.org/10.1006/jnth.1997.2086
出版ステータス	Published - 1997 6月

ASJC Scopus subject areas

代数と数論

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10.1006/jnth.1997.2086

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On the cyclotomic unit group and the ideal class group of a real abelian number field

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