Some results on Γ-extensions of algebraic number fields Dedicated to Professor Iyanaga on his 60th birthday

Sige-Nobu KURODA

doi:10.2969/jmsj/02010208

Some results on Γ-extensions of algebraic number fields

Dedicated to Professor Iyanaga on his 60th birthday

Sige-Nobu KURODA

著者情報

ジャーナルフリー

1968 年 20 巻 1-2 号 p. 208-222

DOI https://doi.org/10.2969/jmsj/02010208

詳細

Published: 1968 Received: 1967/04/01 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) E. Artin and J. Tate, Class field theory, Princeton notes, 1951, distributed by Harvard University.
2) J. Ax, On the unit of an algebraic number field, Illinois J. Math., 9 (1965), 584-589.
3) C. Chevalley, La théorie du corps de classes, Ann. of Math., 41 (1940), 394-418.
4) C. Chevalley, Class field theory, Nagoya, 1954.
5) G. Hochschild and T. Nakayama, Cohomology in class field theory, Ann. of Math., 55 (1952), 348-366.
6) K. Iwasawa, On Γ-extensions of algebraic number fields, Bull. Amer. Math. Soc., 65 (1959), 183-226.
7) K. Iwasawa, On some properties of Γ-finite modules, Ann. of Math., 70 (1959), 291-312.
8) K. Iwasawa, On the theory of cyclotomic fields, Ann. of Math., 531-561.
9) K. Iwasawa and C.C. Sims, Computation of invariants in the theory of cyclotomic fields, J. Math. Soc. Japan, 18 (1966), 86-96.
10) W. Jehne, Zur Verschärfung des F.K. Schmidtschen Einheitensatzes, Math. Z., 77 (1961), 439-452.
11) I. Kaplansky, Infinite abelian groups, University of Michigan Publ. in Math.. No. 2, 1954.
12) T. Kubota, Galois group of the maximal abelian extension over an algebraic number fields. Nagoya Math. J., 12 (1957), 177-189.
13) J.P. Serre, Corps locaux, Paris, 1962.
14) A. Weil, Sur la théorie du corps de classes, J. Math. Soc. Japan, 3 (1951), 1-35.
15) G. Whaples, Non-analytic class field theory and Grunwald's theorem, Duke Math. J. 3 (1942), 455-473.

Right : [1] E. Artin and J. Tate, Class field theory, Princeton notes, 1951, distributed by Harvard University.
[2] J. Ax, On the unit of an algebraic number field, Illinois J. Math., 9 (1965), 584-589.
[3] C. Chevalley, La théorie du corps de classes, Ann. of Math., 41 (1940), 394-418.
[4] C. Chevalley, Class field theory, Nagoya, 1954.
[5] G. Hochschild and T. Nakayama, Cohomology in class field theory, Ann. of Math., 55 (1952), 348-366.
[6] K. Iwasawa, On Γ-extensions of algebraic number fields, Bull. Amer. Math. Soc., 65 (1959), 183-226.
[7] K. Iwasawa, On some properties of Γ-finite modules, Ann. of Math., 70 (1959), 291-312.
[8] K. Iwasawa, On the theory of cyclotomic fields, Ann. of Math., 531-561.
[9] K. Iwasawa and C. C. Sims, Computation of invariants in the theory of cyclotomic fields, J. Math. Soc. Japan, 18 (1966), 86-96.
[10] W. Jehne, Zur Verschärfung des F. K. Schmidtschen Einheitensatzes, Math. Z., 77 (1961), 439-452.
[11] I. Kaplansky, Infinite abelian groups, University of Michigan Publ. in Math.. No. 2, 1954.
[12] T. Kubota, Galois group of the maximal abelian extension over an algebraic number fields. Nagoya Math. J., 12 (1957), 177-189.
[13] J. P. Serre, Corps locaux, Paris, 1962.
[14] A. Weil, Sur la théorie du corps de classes, J. Math. Soc. Japan, 3 (1951), 1-35.
[15] G. Whaples, Non-analytic class field theory and Grunwald's theorem, Duke Math. J. 3 (1942), 455-473.

訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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