Correction to: Stickelberger ideals and Fitting ideals of class groups for abelian number fields (Mathematische Annalen, (2011), 350, 3, (549-575), 10.1007/s00208-010-0570-y)

Masato Kurihara; Takashi Miura

doi:10.1007/s00208-019-01852-1

Correction to: Stickelberger ideals and Fitting ideals of class groups for abelian number fields (Mathematische Annalen, (2011), 350, 3, (549-575), 10.1007/s00208-010-0570-y)

Masato Kurihara, Takashi Miura

数理科学科

研究成果: Comment/debate › 査読

抄録

In the proofs of Theorems 3.5, 3.6 in [3], which give equality of the Fitting ideal of the class group of a CM-field and the Stickelberger ideal, we used Lemma 6.3 in [2], which bounds the index of the Fitting ideal in terms of the class number.

本文言語	English
ページ（範囲）	2083-2088
ページ数	6
ジャーナル	Mathematische Annalen
巻	374
号	3-4
DOI	https://doi.org/10.1007/s00208-019-01852-1
出版ステータス	Published - 2019 8月 6

ASJC Scopus subject areas

数学 (全般)

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10.1007/s00208-019-01852-1

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「Correction to: Stickelberger ideals and Fitting ideals of class groups for abelian number fields (Mathematische Annalen, (2011), 350, 3, (549-575), 10.1007/s00208-010-0570-y)」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

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AU - Miura, Takashi

PY - 2019/8/6

Y1 - 2019/8/6

N2 - In the proofs of Theorems 3.5, 3.6 in [3], which give equality of the Fitting ideal of the class group of a CM-field and the Stickelberger ideal, we used Lemma 6.3 in [2], which bounds the index of the Fitting ideal in terms of the class number.

AB - In the proofs of Theorems 3.5, 3.6 in [3], which give equality of the Fitting ideal of the class group of a CM-field and the Stickelberger ideal, we used Lemma 6.3 in [2], which bounds the index of the Fitting ideal in terms of the class number.

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