Leopoldt's conjecture and Reiner's theorem

Hiroo MIKI; Hirotaka SATO

doi:10.2969/jmsj/03610047

Hiroo MIKI, Hirotaka SATO

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ジャーナルフリー

1984 年 36 巻 1 号 p. 47-52

DOI https://doi.org/10.2969/jmsj/03610047

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Published: 1984 Received: 1982/10/06 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience, New York, 1962.
2) K. Iwasawa, On Z_l-extensions of algebraic number fields, Ann. of Math., 98 (1973). 246-326.
3) T. Kubota, Galois group of the maximal abelian extension over an algebraic number field, Nagoya Math. J., 12 (1957), 177-189.
4) H. W. Leopoldt, Zur Arithmetik in abelschen Zahlkörpern, J. Reine Angew. Math., 209 (1962), 54-71.
5) H. Miki, On the maximal abelian l-extension of a finite algebraic number field with given ramification, Proc. Pre-conference of Intern. Symp, on Algebraic Number Theory, December 1975 Kyoto.
6) H. Miki, On the maximal abelian l-extension of a finite algebraic number field with given ramification, Nagoya Math. J., 70 (1978), 183-202 (this is the details of 5)).
7) H. Miki, On the Leopoldt conjecture on the p-adic regulators, preprint.
8) I. R. Šafarevic, Extensions with given points of ramification, I. H. E. S. Publ. Math., 18 (1963), 71-95 (=A. M. S. Transl. Ser. 2, 59 (1966), 128-149).

Right : [1] C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience, New York, 1962.
[2] K. Iwasawa, On Z_l-extensions of algebraic number fields, Ann. of Math., 98 (1973). 246-326.
[3] T. Kubota, Galois group of the maximal abelian extension over an algebraic number field, Nagoya Math. J., 12 (1957), 177-189.
[4] H. W. Leopoldt, Zur Arithmetik in abelschen Zahlkörpern, J. Reine Angew. Math., 209 (1962), 54-71.
[5] H. Miki, On the maximal abelian l-extension of a finite algebraic number field with given ramification, Proc. Pre-conference of Intern. Symp, on Algebraic Number Theory, December 1975 Kyoto.
[6] H. Miki, On the maximal abelian l-extension of a finite algebraic number field with given ramification, Nagoya Math. J., 70 (1978), 183-202 (this is the details of [5]).
[7] H. Miki, On the Leopoldt conjecture on the p-adic regulators, preprint.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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