Remarks on the validity of Hasse's norm theorem

Takashi TASAKA

doi:10.2969/jmsj/02230330

Takashi TASAKA

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JOURNAL FREE ACCESS

1970 Volume 22 Issue 3 Pages 330-341

DOI https://doi.org/10.2969/jmsj/02230330

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Published: 1970 Received: July 02, 1969 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) H. Cartan and S. Eilenberg, Homological algebra, Princeton, 1956.
2) C. Chevalley, Class field theory, Nagoya, 1953-54.
3) H. Hasse, History of class field theory, (Algebraic number theory, edited by J. Cassels and A. Fröhlich. Chap. 11), Academic press, 1967.
4) T. Nakayama, Cohomology of class field theory and tensor product modules, I, Ann. of Math., 65 (1957), 255-267.
5) T. Ono, Arithmetic of algebraic tori, Ann. of Math., 74 (1961), 101-139.
6) T. Ono, On the Tamagawa number of algebraic tori, Ann. of Math., 78 (1963), 47-73.
7) T. Tasaka, On the second cohomology groups of the fundamental groups of simple algebraic groups over perfect fields, J. Math. Soc. Japan, 21 (1969), 244-258.

Right : [1] H. Cartan and S. Eilenberg, Homological algebra, Princeton, 1956.
[2] C. Chevalley, Class field theory, Nagoya, 1953-54.
[3] H. Hasse, History of class field theory, (Algebraic number theory, edited by J. Cassels and A. Fröhlich. Chap. 11), Academic press, 1967.
[4] T. Nakayama, Cohomology of class field theory and tensor product modules, I, Ann. of Math., 65 (1957), 255-267.
[5] T. Ono, Arithmetic of algebraic tori, Ann. of Math., 74 (1961), 101-139.
[6] T. Ono, On the Tamagawa number of algebraic tori, Ann. of Math., 78 (1963), 47-73.
[7] T. Tasaka, On the second cohomology groups of the fundamental groups of simple algebraic groups over perfect fields, J. Math. Soc. Japan, 21 (1969), 244-258.

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