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

Research output: Contribution to journalComment/debate

Abstract

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.

Original languageEnglish
JournalMathematische Annalen
DOIs
Publication statusPublished - 2019 Jan 1

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Class Group
Number field
CM-field
Class number
Lemma
Equality
Theorem

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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title = "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)",
abstract = "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.",
author = "Masato Kurihara and Takashi Miura",
year = "2019",
month = "1",
day = "1",
doi = "10.1007/s00208-019-01852-1",
language = "English",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer New York",

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TY - JOUR

T1 - Correction to

T2 - 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)

AU - Kurihara, Masato

AU - Miura, Takashi

PY - 2019/1/1

Y1 - 2019/1/1

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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JF - Mathematische Annalen

SN - 0025-5831

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