On fundamental exact sequences

Akira HATTORI

doi:10.2969/jmsj/01210065

Akira HATTORI

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JOURNAL FREE ACCESS

1960 Volume 12 Issue 1 Pages 65-80

DOI https://doi.org/10.2969/jmsj/01210065

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Published: 1960 Received: July 27, 1959 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : To Professor Z. Suetuna on his 60th birthday

Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) I. T. Adamson, Cohomology theory for non-normal subgroups,. Proc. Glasgow Math. Assoc., 2 (1954-6), 66-76.
2) H. Cartan and S. Eilenberg, Homological Algebra, Princeton, 1956.
3) A. Hattori, On exact sequences of Hochschild and Serre, J. Math. Soc. Japan, 7 (1955), 312-321.
4) D. G. Higman, Relative cohomology, Canad. J. Math., 9 (1957), 19-34.
5) K. Hirata, On module extensions, Sci. Rep. Tokyo Kyoiku D., 6 (1959), 265-269.
6) G. Hochschild, Relative homological algebra, Trans. Amer. Math. Soc., 82 (1956), 246-269.
7) G. Hochschild, Note on relative homological dimension, Nagoya Math. J., 15 (1958), 89-94.
8) G. Hochschild and J-P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc., 74 (1953), 110-134.
9) G. Hochschild and J-P. Serre, Cohomology of Lie algebras, Ann. of Math., 57 (1953), 591-603.
10) T. Nakayama, Note on fundamental exact sequences in homology and cohomology for non-normal subgroups, Proc. Japan Acad., 34 (1958), 661-663.
11) S. Takasu. Relative homology and relative cohomology theory of groups, J. Fac. Sci., Univ. Tokyo, Sec. I, 8 (1959), 75-110.

Right : [1] I. T. Adamson, Cohomology theory for non-normal subgroups,. Proc. Glasgow Math. Assoc., 2 (1954-6), 66-76.
[2] H. Cartan and S. Eilenberg, Homological Algebra, Princeton, 1956.
[3] A. Hattori, On exact sequences of Hochschild and Serre, J. Math. Soc. Japan, 7 (1955), 312-321.
[4] D. G. Higman, Relative cohomology, Canad. J. Math., 9 (1957), 19-34.
[5] K. Hirata, On module extensions, Sci. Rep. Tokyo Kyôiku D., 6 (1959), 265-269.
[6] G. Hochschild, Relative homological algebra, Trans. Amer. Math. Soc., 82 (1956), 246-269.
[7] G. Hochschild, Note on relative homological dimension, Nagoya Math. J., 15 (1958), 89-94.
[8] G. Hochschild and J-P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc., 74 (1953), 110-134.
[9] G. Hochschild and J-P. Serre, Cohomology of Lie algebras, Ann. of Math., 57 (1953), 591-603.
[10] T. Nakayama, Note on fundamental exact sequences in homology and cohomology for non-normal subgroups, Proc. Japan Acad., 34 (1958), 661-663.
[11] S. Takasu, Relative homology and relative cohomology theory of groups, J. Fac. Sci., Univ. Tokyo, Sec. I, 8 (1959), 75-110.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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